5.2 – Real-World Problems: Rates and Unit Rates
Objective…
Part A: Solve simple word problems involving rates and unit rates
1)
A machine can pack 70 boxes of spaghetti in 5 minutes.
Bar Model
Math Statement
a. At this rate, how many boxes of spaghetti in 1 minute?
b. At this rate, how many boxes of spaghetti can it pack in 8 minutes?
2)
A unicycle wheel makes 196 revolutions in 7 minutes.
Bar Model
Math Statement
a. At this rate, how many revolutions does it make in 1 minute?
b. At this rate, how many revolutions does the unicycle wheel make in 15
minutes?
5.2 – Real-World Problems: Rates and Unit Rates
3)
Megan babysits for 5 hours and earns $60.
a. At this rate, how much does she earn in 1 hour?
b. At this rate, how much will Megan earn if she babysits for 14 hours?
Part B: Read a table to find the information to solve multi-step rate problems
The table shows the fees at a parking lot.
Ben parked his car there from 9 am to 2 pm on the same day.
How much did he pay for parking?

Total number of hours: _______________________

Parking fee for the first hour: ___________________

Parking fee for second hour: _____________________

Parking free for the last three hours: ______________

Total parking fee: _____________________________
5.2 – Real-World Problems: Rates and Unit Rates
The table shows the charges for renting a bicycle.
Tom rented a bicycle from 10 am to 2 pm on the same day.
How much did he pay for renting the bicycle?

Total number of hours: _______________________

Charge for the first hour: _____________________

Charge for each additional 1 hour: _______________

Charge for the last three hours: ________________

Total charge: ______________________________
Part C: Solve multi-step word problems involving comparison of unit rates
1)
Brand A
2)
Chloe
Andy needs new batteries for his video game controller. He is trying to decide between two
brands. A package of two Brand A batteries costs $3.20. The manufacturer claims the
batteries will last for 20 hours. A package of two Brand B batteries cost $2.80. The
manufacturer claims the batteries will last for 14 hours. Which battery should Andy buy?
Brand B
Chloe scored 87 points in 5 basketball games, and Fiona scored 45 points in 2 basketball games.
Which of the two players scored more points per game?
Fiona
5.2 – Real-World Problems: Rates and Unit Rates
Part D: Find the distance given the speed and time
Mathematical Procedure:
Page 172
1)
Mr. Anthony drives his truck at a speed of 45 kilometers per hour.
a. At this speed how far does he travel in 2 hours?
b. At this speed, how far does he travel in 5 hours?
2)
A racing car can travel at a speed of 175 kilometers her hour. How far can the
racing car travel in 3 hours?
3)
A high-speed train can travel at a speed of 65 meters per second. How far can
the train travel in 2 seconds?
Part E: Find the time given the distance and speed
1)
Lucas ran around a field at a speed of 8 meters per second. How long did he
take to run a distance of 96 meters?
2)
The distance between City X and City Y is 216 kilometers. Mr. Thomas rides his
motorcycle at a speed of 54 kilometers per hour. How long does he take to
travel from City X and City Y?
5.2 – Real-World Problems: Rates and Unit Rates
Part F: Find the average speed to solve real-world problems
Mathematical Procedure:
Page 175
1)
Post A and Post B are 9 meters apart. Post B and Post C are 21 meters apart. A
bicycle travels from post A to post B in 2 seconds. Then it travels from Post B
to Post C in 3 seconds. Find the average speed of the bicycle for the distance
from Post A to Post C.
Average Speed:
2)
The distance between Town P and Town Q is 80 miles and the distance between
Town Q and Town R is 320 miles. A van takes 2 ½ hours to travel from Town P
to Town Q. It takes another 5 hours to travel from Town Q to Town R. Find
the average speed of the van for the whole journey.
Average Speed:
3)
Celia ran around a 400-meter track two times. It took her 4 minutes to run
around the track once and 6 minutes to run around it again. Find Celia’s average
speed.
Average Speed: