Time Goes By! 6.12 Name _________________________________________ Date ___________________ The chart below shows the departure and arrival times for three trains leaving New Orleans and arriving in Houston. Use the chart to answer questions 1–7. Use a separate sheet of paper to write your answers. Train A Train B Train C Departure 7:34 A.M. 9:26 A.M. 10:52 A.M. Arrive 3:37 P.M. 5:19 P.M. 7:06 P.M. 1. Calculate how many minutes it takes Train A to travel from New Orleans to Houston. 2. Calculate how many minutes it takes Train B to travel from New Orleans to Houston. 3. Calculate how many minutes it takes Train C to travel from New Orleans to Houston. 4. Which train takes the longest amount of time to get from New Orleans to Houston? 5. Which train takes the least amount of time to get from New Orleans to Houston? 6. Molly is taking Train A to get to Houston. She needs to leave 45 minutes earlier from her house to catch the train. What time does she have to leave her home? It takes her 55 minutes to get to the Houston hotel from the train station. What time will she arrive at the hotel? 7. What was the total time in hours and minutes it took Molly from the time she left home to the time she arrived at the hotel? 8. Sam’s flower garden in the front yard was really displaying a tremendous amount of beauty. He planted the flowers and bulbs 87 days ago. How many weeks ago did he plant these flowers? 9. Sally and her family were gone for 2 weeks, 3 days, and 42 minutes on their vacation this year. Last year they were gone for 3 weeks, 4 days, and 30 minutes. How much longer were they on vacation last year? 10. Clay arrived at camp at 9:00 A.M. on Wednesday. He left on Monday of the following week at 11:00 A.M. How many days and hours in all was he at camp? 97 Answer Key Student Pages Part B 1. 26 units cubed 2. 37 units cubed 3. 4.5 feet 4. Box B; more sugar for the same price 5. a. 64 inches cubed; b. 64 inches cubed; They weigh the same. 6. 25 cm 7. h = 2.1 inches 8. r = 5 cm Page 111 1.–3. Pages 89 and 90 egg – 0.5 oz. television – 50 kg stair – 25 cm aisle at school auditorium– 0.5 km capacity of an Olympic swimming pool500,000 L 4. 5. 6. 7. Page 97 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 483 minutes or 8 hrs. 3 min. 473 minutes or 7 hrs. 53 min. 494 minutes or 8 hrs. 14 min. Train C Train B 6:49 A.M.; 4:32 P.M. 9 hours and 43 minutes 12 weeks 3 days 1 week, 23 hours and 48 minutes 5 days and 2 hours 195 miles 186 miles; 246 miles 199 miles answers will vary depending on route “Traveling Again” Page 112 1. Page 105 1. 2. 3. 4. 5. 2. a.131 miles; b. 136 miles 3. 99 miles 4. a. 39 miles; b. 157 miles 6.4 hours 1,609 km 2.2 hours 3,345 miles 2.1 hours 121 8 How to • • • • • • • • • • Calculate Time with Facts to Know Time Clocks, A.M. = morning - 12:00 A.M. (midnight) to 11:59 A.M. P.M. = afternoon - 12:00 P.M. (noon) to 11:59 P.M. 60 seconds = 1 minute 60 minutes = 1 hour 24 hours = 1 day To compute elapsed time within the morning or within the afternoon, subtract the smaller number from the larger number. Remember to regroup (borrow) with 60 minutes. Sample Because you cannot subtract 0 minutes from 38 minutes, subtract 1 hour from the 9:00 P.M. and convert it to 60 minutes. So when you calculate how much time elapsed between 9:00 P.M. and 7:38 p.m., the final answer is 1 hour 22 minutes. To add elapsed time, add the two measurements of time together. 8:60min 9:00 P.M. – 7:38 P.M. 1:22 (1 hr 22 min) Sample When you add the two measurements of time together, you have an answer of 218 days 49 hrs 60 min, but you know that you convert some of the minutes to hours and some hours into days. Using the chart at the top of the page, you know that 24 hours = 1 day so 49 hours = 2 days 1 hour. Similarly, you know that 60 minutes = 1 hour so after you made all the conversions, the final answer is 220 days and 2 hours have elapsed. Calendar Facts 206 days 2 hrs 5 min + 12 days 47 hrs 55 min 218 days 49 hrs 60 min = 220 days 2 hrs 7 days = 1 week 52 weeks = 1 year 10 years = 1 decade 10 decades = 1 century 10 centuries = 1 millennium 28-Day Month February (29 days in leap year) 30-Day Months September April June November 31-Day Months January March May July August October December • Time from the approximate date of the birth of Christ until the present moves progressively from 1 to 2000 +. It is called A.D. (anno domini—in the year of our Lord). • Time before the birth of Christ counts back from 1 to the earliest recorded history, about 5,000 years. It is called B.C. (before Christ) or B.C.E. (“before the common era”). • To compute the passage of years within B.C. or within A.D., subtract the lower number from the higher number. • To compute the passage of years from B.C. to A.D., add the B.C. date to the A.D. date. 33 8 Practice • • • • • • • • • Adding and Subtracting Time Directions: Using the information on page 33, compute the elapsed time for the problems below. Remember to regroup when needed. 1. 11:35 A.M. – 8:00 A.M. 2. 11:10 A.M. – 9:30 A.M. 3. 10:25 P.M. – 4:00 P.M. 4. 9:25 P.M. – 2:30 P.M. 5. 9:55 A.M. – 7:20 A.M. 6. 11:02 A.M. – 2:56 A.M. 7. 9:05 P.M. – 1:09 P.M. 8. 6:15 P.M. – 3:59 P.M. 9. 134 days 4 hrs 23 min + 56 days 9 hrs 9 min 10. 67 days 19 hrs 15 min + 23 days 8 hrs 24 min 11. 12 wks 20 days 14 hrs 41 min + 19 wks 3 days 23 hrs 59 min 12. 39 wks 15 days 13 hrs 59 min – 25 wks 2 days 8 hrs 53 min 13. 40 days 3 hrs 50 min – 13 days 15 hrs 16 min 14. 75 days 23 hrs 15 min – 62 days 3 hrs 50 min 34 • • • • • • • • • • • • • • • • • • • • • • Answer Key Page 32 1. 2. 3. 4. 5. 6. Page 34 1. 3 hr 35 min 2. 1 hr 40 min 3. 6 hr 25 min 4. 6 hr 55 min 5. 2 hr 35 min 6. 8 hr 6 min 7. 7 hr 56 min 8. 2 hr 16 min Page 36 (dates as of year 2000) 1. 378 yr. 2. 3,800 yr. 3. 369 yr. 4. 187 yr. 5. 3,000 yr. 6. 2,100 yr. 7. 383 yr. 8. 334 yr. Page 38 1. 70° F 2. 32° F 3. 98° F 4. 20° F 5. 50° F 6. 98.6° F; .4° F 7. 52° F 8. 32° F 9. 180° F 10. 113.4° F 11. 4.4° F 12. 72° F 13. 29.4° F 14. 112° F Page 39 1. 20° C 10. 91 days 3 hr 39 min 2. 33° C 11. 34 wk 3 days 14 hr 3. 98° C 40 min 4. 50° C 5. 10° C 12. 15 wk 6 days 5 hr 6 min 6. 20° C 13. 26 days 12 hr 34 min 7. 122° F 14. 13 days 19 hr 25 min uncomfortably hot Page 35 8. 0° C 1. Feb./Mar. 9. 22° C 2. Ending in 29, the first 10. 40° C month must be February. 11. 50° C 3. Feb. 19th 12. 89° C 4. Apr. 4th 13. C. short sleeves 5. Mar. 18th 14. E. swim suit 6. 5 15. B. ice skates 7. 31 days 16. D. light jacket 8. 275 days 17. A. heavy parka 9. Mar. 1 10. December 26th 11. April 23rd 12. Monday 9. 190 days 13 hr 32 min Area of square = 144 cm2 Area of parts (A + B + C + D + E) = 144 cm2 Possible steps to finding the areas of each part: To find the area of section E (64 cm2), subtract the area of A (8 cm2) from the area of one-half the square (72 cm2). Section B and section C are congruent. Sections B, C, and D make up one-half the square. To find the area of B (30), subtract the area of D (12 cm2) from the areas of B + C + D (72 cm2), and then divide that difference by 2. Section areas in square centimeters: A = 8, B = 30, C = 30, D = 12, E = 64 The sum of the parts (8 + 30 + 30 + 12 + 64) = the whole (144). Page 40 1. 4° C 2. 20° C 3. 38° C 4. 27° C 5. 0° C 6. 100° C 7. 77° F 8. 50° F 9. 99° F (98.6° F) 10. 167° F 11. 86° F 12. 140° F Page 41 1. 9 m.p.h. 2. 45 miles 3. 50 m.p.h. 4. 43.75 m.p.h. 5. 11.2 m.p.h. 6. 168 miles 7. 270 miles 8. 578.5 m.p.h. 9. 107.8 m.p.h. 10. 135 m.p.h. Pages 44 and 45 Answers will vary. Page 46 1. 944 mi.2 2. 387,823 mi.2 3. 654,879 mi.2 4. Illinois 5. Montana 6.–7. Answers will vary. Page 42 1. 10 hr. 2. 3 hr. 3. 2.5 hr. 4. 7 m.p.h. 5. 7.5 hr. 6. 52.5 m.p.h. 7. 787.5 hr. 8. 117.5 hr. 9. 13.5 hr. 10. 15 hr. Page 43 4 cm A 4 cm E B C 48 D Rate Problems Practice 15 Reminders • To determine the rate of speed, divide the distance traveled by the time it took to travel that distance. • The formula is: r = d – t • The answer is usually expressed in miles per hour (m.p.h.). Directions: Compute the rate in each of these problems. 1. Your family took a 360-mile automobile trip from Los Angeles to San Francisco in 6 hours. What was your average speed in miles per hour? _________________ m.p.h. 2. The Clark family drove 3,000 miles from New York to Los Angeles in 60 hours of driving. What was their average rate? _________________ m.p.h. 3. The Brown family traveled 990 miles from Atlanta, Georgia to Houston, Texas in 33 hours. What was their average rate of speed? _________________ m.p.h. 4. Mark’s mother drove 2,340 miles from Cincinnati, Ohio to Portland, Oregon in 39 hours. What was her rate of speed? _________________ m.p.h. 5. Shannon’s father drove 2,750 miles from Seattle, Washington to Philadelphia, Pennsylvania in 55 hours. What was his average speed in miles per hour? _________________ m.p.h. 6. Michelle’s family drove 2,200 miles from Houston, Texas to Portland, Oregon in 40 hours. What was their average rate of speed? _________________ m.p.h. 7. Alyssa’s family drove 3,090 miles from San Francisco, California to Boston, Massachusetts in 60 hours. What was their average speed? _________________ m.p.h. 8. Frank’s dad drove 1,600 miles from Minneapolis, Minnesota to Seattle, Washington in 40 hours. What was his average speed in miles per hour? _________________ m.p.h. 9. Stacy’s mother drove 1,040 miles from Denver, Colorado to Memphis, Tennessee in 26 hours. What was her average speed? _________________ m.p.h. 10. Jake’s dad flew a plane 200 miles from Kansas City, Missouri to Omaha, Nebraska in 2.5 hours. What was the plane’s average speed? _________________ m.p.h. 18 Time and Distance Practice 16 The community park is sponsoring a ride-athon. People can bring their bicycles, skateboards, scooters, or skates. Help compute time and distance for the riders. Reminders t=d – r • Distance is computed by multiplying the rate of speed times the amount of time expended. d = –r t • Time is computed by dividing the distance traveled by the rate of speed. 1. Kyle rode his skateboard 40 minutes at an average speed of 80 feet per minute. What distance did your friend travel? _________________ feet 2. Ashley rode her skateboard 3,200 feet at 80 feet per minute. How many minutes did she ride? _________________ minutes 3. The school principal rode her bicycle for 50 minutes at an average speed of 200 feet per minute. How many feet did she travel? _________________ feet 4. Jeffrey rode his in-line skates for 99 minutes at an average speed of 72 feet per minute. What distance did Jeffrey travel? _________________ feet 5. Veronica rode her motorized scooter 31,680 feet at an average speed of 80 feet per minute. How many minutes did she ride her scooter? _________________ minutes 6. Gavin rode his scooter 86 feet a minute for 90 minutes. How many feet did he ride? _________________ feet 7. Marie rode her mountain bicycle for 240 minutes at an average speed of 100 feet per minute. How far did she ride? _________________ feet 8. Louise rode her scooter 40,240 feet at 80 feet per minute. How many minutes did she ride her scooter? _________________ minutes 9. Jonathan skated 32,800 minutes at 80 feet per minute. How many minutes did he skate? _________________ minutes 10. Kristin rode her bicycle 320 minutes at 95 feet per minute. How many feet did she ride? _________________ feet 19 Answer Key Page 4 1. 279 marbles 2. 146 marbles 3. 188 marbles 4. 55 marbles 5. 1,316 marbles 6. 37 marbles 7. 96 marbles 8. 222 marbles 9. 245 marbles 10. 468 marbles 11. 71 marbles 12 marbles 12. 444 marbles Page 5 1. addition 19,056 bases 2. subtraction 1,689 at bats 3. addition 2,129 home runs 4. division 177 hits 5. multiplication 3,928,500 tickets 6. subtraction 1,578 strike outs 7. division 2,800 groups 8. subtraction 329 walks 9. division 175 hits (174 R13) 10. division .600 or 60% Page 6 1. subtraction 37,036 people 2. subtraction 14,443 people 3. addition 132,118 fans 4. addition 35,292 fans 5. division 860 packages 6. division 2,000 packages 7. subtraction 28,538 fans 8. division 8,250 packages 9. multiplication 601,536 fans 10. multiplication 3,649,050 tickets 47 Page 7 1. 7/12 lb. 2. 1 5/12 lb. 3. 1/8 lb. 4. 1/12 lb. 5. 5 lb. 6. 1/4 feet 7. 1 7/10 lb. 8. 11/24 feet 9. 6 cups 10. 1 19/30 lb. Page 8 1. 15 ounces 2. 24 3/4 ounces 3. 21/40 ounces 4. 25 students 5. 14 students 6. 1/12 ounces 7. 1 7/10 ounces 8. 27 1/5 ounces 9. 9 3/8 ounces 10. 8 3/4 lb. 11. 1 1/2 ounces 12. 28 cups Page 9 1. 10 3/8 inches 2. 32 3/4 inches 3. 7/8 inches 4. 51 5/8 inches 5. 83 7/8 inches 6. 3 1/4 lb. 7. 20 1/4 lb. 8. 24 1/6 inches 9. 14 1/8 ounces 10. 20 3/8 inches Page 10 1. 76 inches 2. 52 1/5 inches 3. 10 prints 4. 8 prints 5. 150 inches 6. 355 inches 7. 23 1/3 inches 8. 7 prints 9. 451 inches 10. 8 prints Page 11 1. 2 1/4 feet 2. 9 5/6 feet 3. 17 3/4 feet 4. 3 1/8 feet 5. 2 1/3 feet 6. 6 2/5 times 7. 12 lengths 8. 6 1/12 feet 9. 5 1/2 feet 10. 14 7/12 feet Page 17 1. 467.476 mi. 2. 2,246.8 mi. 3. 32.422 feet 4. 94.14 mi. 5. 15.23 mi. 6. 44.636 mi. 7. 177.813 m.p.h. 8. 3,030.957 lb. 9. 91.05 mi. 10. 880.431 mi. Page 12 1. $5.04 2. $0.56 3. $63.68 4. $43.45 5. $5.51 6. $5.04 7. $29.25 8. $0.96 9. $10.13 10. $20.15 11. $18.35 12. $17.10 Page 13 1. 7.9 centimeters 2. 87.6 centimeters 3. 30.25 centimeters 4. 220.89 centimeters 5. 204.26 centimeters 6. 347.863 centimeters 7. 24.99 centimeters 8. 1.201 centimeters 9. 56.899 centimeters 10. 59.663 centimeters 11. 26.989 centimeters 12. 181.91 centimeters Page 14 1. 0.21 lb. 2. 100.2 ounces 3. 1.09 ounces 4. 10.2 candies 5. 45.1 lb. 6. 80.5 ants 7. 969.624 ounces 8. $0.23 9. $0.38 10. 157.68 lb. Page 15 1. 75% 2. 72% 3. 75% 4. 60% 5. 75% Page 16 1. $34.00 2. $4.00 3. $1.32 4. $9.52 5. $7.00 6. $2.48 7. $22.80 8. $4.00 9. $18.00 $42.00 10. $5.24 $29.71 6. 7. 8. 9. 10. 80% 64% 67% 70% 82% Page 18 1. 60 m.p.h. 2. 50 m.p.h. 3. 30 m.p.h. 4. 60 m.p.h. 5. 50 m.p.h. 6. 55 m.p.h. 7. 52 m.p.h. 8. 40 m.p.h. 9. 40 m.p.h. 10. 80 m.p.h. Page 19 1. 3,200 feet 2. 40 min. 3. 10,000 feet 4. 7,128 feet 5. 396 min. 6. 7,740 feet 7. 24,000 feet 8. 503 min. 9. 410 min. 10. 30,400 feet Page 20 1. $1 2. $1 3. $11 4. 7 5. $21 6. 2 7. -$6 8. -24 9. 17 10. -72 11. -32 12. $226 Page 21 1. -$12 2. -$20 3. +42 4. -$7 5. -9 6. +10 7. $270 8. +156 9. 64 10. +5 11. -$5 12. +20 Page 22 1. polar bear 2. leopard/camel dog/cat 3. 2 yr. 4. pig 5. 9 yr. 6. 15 yr.. 7. 1 yr. 8. 9 yr. 9. 55 yr. 10. 70 yr. Page 23 1. 30% 2. 5th/8th 3. 60% 4. no 5. 45% 6. 40% Page 24 1. 1960 2. 1990–2000 3. 1960 4. 1950–1960 5. 1990–2000 6. 1970–1980 7. 1960–1970 8. the same 9. 10/11 10. 12/13 11. 16 12. 7/8/9 13. taller 14. 14 Page 25 1. 12 2. 1 3. 4 4. 2 5. 2 6. 12 7. 18 8. 1 9. 4 10. dog 11. snake 12. 5 13. 41 14. 27 Frequency Cat 8 Dog 12 Snake 2 Bird 3 Mouse 3 Hamster 4 Fish 6 Other 3 Page 26 1. 10 m.p.h. 2. the scale starts at 20 rather than 0 10 Word Problems • • • • • • • Measuring Speed and Distance rate of speed = distance divided by time or r = d – t Example: If a car travels 120 miles in 3 hours, what is its average speed in miles per hour? Example: r = 120/3 Example: r = 40 miles per hour The formula for determining the rate of speed follows: The formula for determining the distance traveled follows: distance = rate of speed multiplied by the time or d = r x t Example: If a car traveled 40 miles per hour for 3 hours, how far did it travel? Example: d = 40 x 3 Example: d = 120 miles Directions: Use the information above to solve these problems. 1. Your best friend rode his bike 45 miles in 5 hours. What was your friend’s average rate of speed? ___________ miles per hour 2. You rode your skateboard across town at 15 miles per hour for 3 hours. How far did you ride? ___________ miles 3. A fifth grade teacher drove 450 miles from Los Angeles to Sacramento in 9 hours. What was her average rate of speed? ___________ m.p.h. 4. Your principal drove 2,800 miles from New York City to Seattle, Washington, in 64 hours. What was his or her average rate of speed? ___________ m.p.h. 5. A group of Eagle Scouts traveled the 2,800 miles from New York City to Seattle by bicycle in 250 hours. What was their average rate of speed? ___________ m.p.h. 6. A troop of Girl Scouts bicycled at 14 miles per hour for 12 hours. How many miles did they travel? ___________ miles 7. A man rode a horse at 18 miles per hour for 15 hours. How far did he travel? ___________ miles 8. An airplane flew 3,471 miles from New York City to London, England, in 6 hours. What was the average rate of speed? ___________ m.p.h. 9. Charles Lindbergh flew 3,610 miles nonstop from New York to Paris in 33 1– hours. What was his 2 average speed in miles per hour? ___________ m.p.h. (Round your answer to the nearest tenth.) 10. Amelia Earhart flew about 2,025 miles from Newfoundland, Canada, to Ireland in about 15 hours. What was her average rate of speed? ___________ m.p.h. 41 10 Word Problems • • • • • • • • • • • Measuring Speed and Time If you know the distance an object traveled and its rate of speed, you can compute the time it took to travel that distance. time = distance divided by rate of speed or t = d – r Example: A car traveled 100 miles at 50 miles per hour. How long did it take the car to travel that distance? t=d – = 100 — = 2 hours r 50 Directions: Use the information from page 41 and the model above to help you compute these answers. 1. A member of a bicycle club rode his bicycle 100 miles at 10 miles per hour. How many hours did he ride? ___________ hr. 2. A pilot flew her 1930s era single engine plane 450 miles at 150 miles per hour. How many hours did she fly? ___________ hr. 3. Your mother drove 100 miles at 40 miles per hour. How many hours did she drive? ________________ hr. 4. You rode your new skates a total distance of 35 miles in 5 hours. What was your rate of speed? ___________ m.p.h. 5. You and your best friend rode your bicycles on a 75-mile camping trip at an average speed of 10 miles per hour. How many hours did you ride? ___________ hr. 6. A sixth grade teacher at Olsen Elementary School drove 3,095 miles from Boston, Massachusetts, to San Francisco, California, in 59 hours. What was her rate of speed? (Round the answer to the nearest tenth.) ___________ m.p.h. 7. Two athletes decided to walk 3,150 miles from Los Angeles to New York. Their walking speed was 4 miles per hour. How many hours did it take them? ___________ hr. 8. Two college students decided to drive 1,880 miles from Atlanta to Salt Lake City in a golf cart at an average speed of 16 miles per hour. How many hours did it take them to make the trip? ___________ hr. 9. A motorcyclist decided to ride his motorcycle 608 miles from Washington, D.C., to Atlanta, Georgia. His rate of speed was 45 miles per hour. How many hours did it take him? ___________ hr. 10. A young pilot flew her single engine plane 1,545 miles from Los Angeles, California to Mexico City at an average speed of 103 miles per hour. How many hours did the flight take? ___________ hr. 42 • • • • • • • • • • • • • • • • • • • • • • Answer Key Page 32 1. 2. 3. 4. 5. 6. Page 34 1. 3 hr 35 min 2. 1 hr 40 min 3. 6 hr 25 min 4. 6 hr 55 min 5. 2 hr 35 min 6. 8 hr 6 min 7. 7 hr 56 min 8. 2 hr 16 min Page 36 (dates as of year 2000) 1. 378 yr. 2. 3,800 yr. 3. 369 yr. 4. 187 yr. 5. 3,000 yr. 6. 2,100 yr. 7. 383 yr. 8. 334 yr. Page 38 1. 70° F 2. 32° F 3. 98° F 4. 20° F 5. 50° F 6. 98.6° F; .4° F 7. 52° F 8. 32° F 9. 180° F 10. 113.4° F 11. 4.4° F 12. 72° F 13. 29.4° F 14. 112° F Page 39 1. 20° C 10. 91 days 3 hr 39 min 2. 33° C 11. 34 wk 3 days 14 hr 3. 98° C 40 min 4. 50° C 5. 10° C 12. 15 wk 6 days 5 hr 6 min 6. 20° C 13. 26 days 12 hr 34 min 7. 122° F 14. 13 days 19 hr 25 min uncomfortably hot Page 35 8. 0° C 1. Feb./Mar. 9. 22° C 2. Ending in 29, the first 10. 40° C month must be February. 11. 50° C 3. Feb. 19th 12. 89° C 4. Apr. 4th 13. C. short sleeves 5. Mar. 18th 14. E. swim suit 6. 5 15. B. ice skates 7. 31 days 16. D. light jacket 8. 275 days 17. A. heavy parka 9. Mar. 1 10. December 26th 11. April 23rd 12. Monday 9. 190 days 13 hr 32 min Area of square = 144 cm2 Area of parts (A + B + C + D + E) = 144 cm2 Possible steps to finding the areas of each part: To find the area of section E (64 cm2), subtract the area of A (8 cm2) from the area of one-half the square (72 cm2). Section B and section C are congruent. Sections B, C, and D make up one-half the square. To find the area of B (30), subtract the area of D (12 cm2) from the areas of B + C + D (72 cm2), and then divide that difference by 2. Section areas in square centimeters: A = 8, B = 30, C = 30, D = 12, E = 64 The sum of the parts (8 + 30 + 30 + 12 + 64) = the whole (144). Page 40 1. 4° C 2. 20° C 3. 38° C 4. 27° C 5. 0° C 6. 100° C 7. 77° F 8. 50° F 9. 99° F (98.6° F) 10. 167° F 11. 86° F 12. 140° F Page 41 1. 9 m.p.h. 2. 45 miles 3. 50 m.p.h. 4. 43.75 m.p.h. 5. 11.2 m.p.h. 6. 168 miles 7. 270 miles 8. 578.5 m.p.h. 9. 107.8 m.p.h. 10. 135 m.p.h. Pages 44 and 45 Answers will vary. Page 46 1. 944 mi.2 2. 387,823 mi.2 3. 654,879 mi.2 4. Illinois 5. Montana 6.–7. Answers will vary. Page 42 1. 10 hr. 2. 3 hr. 3. 2.5 hr. 4. 7 m.p.h. 5. 7.5 hr. 6. 52.5 m.p.h. 7. 787.5 hr. 8. 117.5 hr. 9. 13.5 hr. 10. 15 hr. Page 43 4 cm A 4 cm E B C 48 D