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3.05 Unit rates

Worksheet
Unit rates
1

Tricia reads 20 pages of her book in 2 hours. State the unit rate of pages per hour.

2

A car travels 200\text{ mi} in 4 hours.

a

Complete the following table of values:

Time taken (hours)421
Distance traveled (miles)200
b

Find the speed of the car in miles per hour.

3

A tap fills up a 240 \text{ L} tub in 4 hours.

a

State the compound unit that measures the rate of water flow.

b

Find the rate of water flow of the tap.

4

A toy manufacturer makes 720 toys in 9 hours.

a

State the compound unit that measures the rate of toy manufacturing.

b

Find the rate at which the toys are being made.

5

Justin earns \$420 in 6 hours. Find Justin's hourly rate.

6

Tina burns 640 calories by jogging 8 \text{ km}. Find the rate at which Tina burns calories per kilometer.

7

Luke writes 900 words in 20 minutes. State Luke's writing speed in words per minute.

8

An animator uses 12 frames for every 0.5 seconds of an animation. Find the frame rate of the animation in frames per second (fps).

9

A three episode TV series had a total run time of 72 minutes. Find the rate of run time per episode.

10

Avril is running from John in a game of tag. Avril runs 30 \text{ yd} every 5 seconds and John runs 21 \text{ yd} every 3 seconds.

Who is faster? Explain your answer.

Applications
11

A bus travels at a speed of 80\text{ km/hr}. How far does the bus travel in 5 hours?

12

Iain earns \$22 per hour working as a performer. If Iain works for 20 hours a week, determine his weekly earnings.

13

Lisa is trying to save money so she deposits \$3.20 into her bank account for every 8 coffees she purchases. How much does Lisa deposit for each cup of coffee?

14

It requires approximately 8\text{ mL} of polyethylene to create 20 plastic bags.

a

Find the rate of polyethylene used per plastic bag.

b

How much polyethylene would be required to create 5 plastic bags?

15

Adam really likes apples and eats 4 per day.

a

Find the number of apples that Adam eats in one week.

b

If Adam buys 44 apples, how many days will that last him?

16

Tina counts 26 heart beats over a 20-second interval. Find Tina's heart rate in beats per minute (bpm).

17

A cyclist travels 70 yards per 10 seconds. Find the speed of the cyclist in yards per minute.

18

A worm takes 15 seconds to travel 20\text{ cm}.

a

How long does it take for the worm to travel 1 meter?

b

Find the rate of the worm's time spent per meter distance traveled.

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Outcomes

MA.6.AR.3.2

Given a real-world context, determine a rate for a ratio of quantities with different units. Calculate and interpret the corresponding unit rate.

MA.6.AR.3.5

Solve mathematical and real-world problems involving ratios, rates and unit rates, including comparisons, mixtures, ratios of lengths and conversions within the same measurement system.

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