8.04 Rates
Tricia reads 20 pages of her book in 2 hours. Find her reading rate of pages per hour.
A car travels 320\text{ km} in 4 hours.
Complete the following table of values:
| Time taken (hrs) | 4 | 2 | 1 |
|---|---|---|---|
| Distance travelled (km) | 320 |
Find the speed of the car in kilometres per hour.
A tap fills up a 240 litre tub in 4 hours.
State the compound unit for the rate of water flow.
Find the rate of water flow of the tap.
A toy manufacturer makes 720 toys in 9 hours.
State the compound unit for the rate of toy manufacturing.
Find the rate at which the toy manufacturer works.
Justin earns \$420 in 6 hours. Find Justin's hourly rate.
Tina burns 640 calories by jogging 8 kilometres. Find the rate at which Tina burns calories per kilometre.
Luke writes 900 words in 20 minutes. Find Luke's writing speed in words per minute.
A 3-episode TV series had a total run time of 69 minutes. Find the run time for a single episode.
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)}.
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.
Find Avril's speed in metres per second.
Find John's speed in metres per second.
Who is faster?
Iain earns \$22 per hour working as a performer and works for 20 hours a week. Find Iain's weekly earnings.
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?
A bus travels at a speed of 80\text{ km/hr}. How far does the bus travel in 5 hours?
It requires 8\text{ mL} of polyethylene to create 20 plastic bags.
Find the rate of polyethylene used per plastic bag.
How much polyethylene would be required to create 5 plastic bags?
A worm takes 15 seconds to travel 20\text{ cm}.
How long does it take for the worm to travel 1 metre?
Find the rate of the worm's time spent per metre distance traveled.
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.
How many millilitres of water can the bucket hold?
How many hours will it take to fill the bucket?
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?
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.
How many millilitres of ice-cream did Patricia consume?
How many seconds did it take for Patricia to consume the ice-cream?
Find her rate of consumption of ice-cream in mL/s.
A cyclist travels 70 metres per 10 seconds. Find the speed of the cyclist in metres per minute.
Tina counts 26 heart beats over a 20 second interval. Find Tina's heart rate in beats per minute (bpm).
Adam really likes apples and eats them at a rate of 4 per day.
How many apples does Adam eat in one week?
If Adam buys 44 apples how many days will this last him?
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?