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Name:________________________________ Date:_____________ Period:________________ 3.6 B Uniform Motion Algebra 1 Notes 1) Uniform motion: SAME DIRECTION a) A passenger train leaves a station at 1pm and travels at an average rate of 72mi/h. A high-speed train leaves the same station and hour later and travels at an average rate of 90mi/h. The trains follow the same route. In how many hours will the high-speed train overtake the passenger train? Rate Time Distance b) A group of campers left a campsite in a canoe traveling at a speed of 10 km/h. Two hours later the group leader left the campsite in a motorboat traveling in the same direction at a speed of 22 km/h. How long did it take for the motorboat to catch up with the canoe? Rate c) Time Distance Joe left home on his bicycle for a long-distance ride. Meredith left 3 hours later on her motorcycle carrying Joe’s lunch. Meredith traveled at 42 mph and she caught up to Joe in 1.5 hours. How fast was Joe traveling? Rate Time Distance d) Suppose John and Gina leave at the same time traveling in the same direction. Gina drives at 85 mph and John at 70 mph. How long until they are 90 miles apart? Rate Time Distance 1 2) Uniform Motion: OPPOSITE DIRECTION a) Jane and Peter leave their home traveling in opposite directions on a straight road. Peter drives 15 mi/h faster than Jane. After 3 hours they are 225 miles apart. Find Peter’s and Jane’s rate. Rate b) Time Distance Two trains leave Washington D.C. at the same time, one traveling north, the other south. The first train travels at 60 mph and the second at 55 mph. In how many hours will the trains be 805miles apart? Rate d) Distance Sarah and John leave New York City traveling in opposite directions. Sarah drives 12 mi/h faster than John. After 2 hours they are 176 miles apart. Find John’s and Sarah’s Speed. Rate c) Time Time Distance At the same time Mike leaves Union for Virginia Beach, Paul leaves Virginia Beach for Union. The distance between the two towns is 540 miles. Mike’s average speed is 15 mph faster than Paul’s. How fast is Paul driving if they pass each other in 4 hours? Rate Time Distance 2 3) Uniform Motion: ROUND TRIP a) Noya travels into the city to buy software at the computer store. Because of the traffic, she averages only 15mi/h. On her drive home, she averages 35 mi/h. If the total drive time is 2 hours, how long did it take her to drive to the computer store? Rate Time Distance b) On his way to work from home, Uncle Jack averaged only 20 mi/h. On his drive home from work, he 1 averages 40 mi/h. If the total drive time was 1 2 hours, how long did it take him to drive to work? Rate c) Time Distance Cheryl is on her way home from work averaging a speed of 30mph. Once she gets home she remembered she left her purse at work. Because of traffic, she averages only 10mph going from home back to work. If the total drive time is 1.5 hours, how long does it take her to drive back to work? Rate Time Distance d) On his way to the food store from home, Mike averages only 25 mph. On his drive home, he averages 55mph. If the total drive was 2 hours, how long did it take him to drive to the food store? Rate Time Distance 3