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Middle Years

8.04 Rates

Worksheet
Rates
1

Tricia reads 20 pages of her book in 2 hours. Find her reading rate of pages per hour.

2

A car travels 320\text{ km} in 4 hours.

a

Complete the following table of values:

Time taken (hrs)421
Distance travelled (km)320
b

Find the speed of the car in kilometres per hour.

3

A tap fills up a 240 litre tub in 4 hours.

a

State the compound unit for 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 for the rate of toy manufacturing.

b

Find the rate at which the toy manufacturer works.

5

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

6

Tina burns 640 calories by jogging 8 kilometres. Find the rate at which Tina burns calories per kilometre.

7

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

8

A 3-episode TV series had a total run time of 69 minutes. Find the run time for a single episode.

9

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

10

Avril is running from John in a game of tag. Avril runs 30 metres every 5 seconds and John runs 21 metres every 3 seconds.

a

Find Avril's speed in metres per second.

b

Find John's speed in metres per second.

c

Who is faster?

Applications
11

Iain earns \$22 per hour working as a performer and works for 20 hours a week. Find Iain's weekly earnings.

12

Caitlin plays cricket over the summer holidays. Caitlin scores at a rate of 24 runs per game and there are 30 games in the season. How many runs did Caitlin score in total?

13

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

14

It requires 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

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

a

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

b

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

16

A tap is dripping at a rate of 1000\text{ mL/hr} . A 5\text{ L} bucket is placed underneath it to catch the water.

a

How many millilitres of water can the bucket hold?

b

How many hours will it take to fill the bucket?

17

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?

18

Patricia eats 7.2 litres of ice cream in 6 minutes in an ice-cream eating contest. Patricia wants to find her rate of ice-cream consumption in millilitres per second.

a

How many millilitres of ice-cream did Patricia consume?

b

How many seconds did it take for Patricia to consume the ice-cream?

c

Find her rate of consumption of ice-cream in mL/s.

19

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

20

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

21

Adam really likes apples and eats them at a rate of 4 per day.

a

How many apples does Adam eat in one week?

b

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

22

The height of a pool increases by 5\text{ cm} for every 10 litres of water added. After adding some water the height of the pool increased by 0.45\text{ m}.

How much water was added to the pool?

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