Write the equivalent unit rate for each of the following:
72 kilometres in 9 hours
\$140 in 4 minutes
170 litres in 5 hours
92 toys in 2 days
336 calories over 4 kilometres
7980 rotations every 19\text{ km}
A car is travelling 60\text{ km/hr}. How far has it travelled after 7 hours?
There are 6 apartments per floor of a building. How many apartments are there over 11 floors?
In a library, there are 300 books per shelf. How many books are there on 3 shelves?
The volume of polyethylene used to create 10 plastic bags is approximately 4\text{ mL}. How much polyethylene is used to create 5 plastic bags?
Sixteen oranges can be fitted into a single carry bag. How many bags will be needed to carry 112 oranges?
The amount of pears that can fit in a plastic bag is 11 pears per bag. How many bags will be needed to carry 33 pears?
There are 224 tissues per box. If the manufacturer wastes 1120 tissues in production, how many boxes of tissues is this?
400\text{ L} of rain falls over a 2400 \text{ m}^2 field. How much rain falls over one quarter of the field to the nearest litre?
A worm takes 15 seconds to travel 25\text{ cm}. How long does it take the worm to travel a metre?
A film maker is stitching together frames for a movie. She stitches together 6 frames for every 0.25 seconds of the movie. What's the frame rate of the movie in frames per second?
The height of water in a pool increases by 0.2\text{ cm} for every litre of water added. If the height of water increases by 16\text{ cm}, how much water was added?
Consider the following rates:
A car travelling at S\text{ km/h} travels at a distance of D\text{ km} in T hours. Express S in terms of D and T.
A company that makes R dollars per hour earns A dollars in T hours. Express R in terms of A and T.
A printer can print S sheets of paper per minute. If it prints P sheets of paper in T minutes, express S in terms of P and T.
The rate at which cement is used to lay bricks for a house is C litres per brick. If V litres of cement is used to lay N bricks, express V in terms of N and C.
During a one hour exercise, the human body consumes R calories per kilogram. If a person weighs W\text{ kg} and consumes C calories, express W in terms of R and C.
A teacher can mark F exams per hour. If they mark N exams in T hours, express T in terms of F and N.
A bike travels 83 metres per 12 seconds. What is the speed of the bike in m/min?
Avril counts 13 heart beats over a 20 second interval. What is her heart rate in beats per minute (bpm)?
A cyclist travels 38 metres per 10 seconds. What’s the speed of the cyclist in m/min?
In an ice cream eating contest the winner eats 5.85 litres of ice cream in 6 minutes. What is the rate of consumption of ice cream in mL/s?
Gwen is trying to save money and deposits \$4.20 into her bank account for every 7 coffees she purchases. What is her rate of depositing in terms of cents per coffee?
A crabeater seal can filter 0.9 litres of water in each dive looking for food. They can stay under water for 30 minutes each dive.
What is the rate of water filtered in L/min?
What is the rate of water filtered in mL/min?
What is the rate of water filtered in mL/s?
A runner approximates the distance between two street lights as 23 metres. It takes him 5 seconds to run from one street light to the other.
What is the runner’s speed in m/min?
What is the runner’s speed in m/h?
What is the runner’s speed in km/h?
A cyclist counts 59 heart beats over a 30 metre distance. The cyclist’s smart watch says that her heart is beating at 118\text{ bpm}.
How long does it take the cyclist to cover the 30\text{ m} distance?
What is the cyclist’s speed in m/s?
What is the cyclist’s speed in m/min?
What is the cyclist’s speed in km/h?
A baby is weighed on his first birthday and found that he's gained 4.38\text{ kg} since he was born. Assume there are 365 days in a year.
What is the rate of growth in kilograms per day?
What is the rate of growth in grams per day?
What is the rate of growth in grams per hour?
The Earth completes one full rotation in a day. As it rotates, a particular point on the Earth moves 14\,850 kilometres in 12 hours.
What is the speed of the point on the Earth in kilometres per day?
What is the speed of the point on the Earth in km/h?
What is the speed of the point on the Earth in m/h?
What is the speed of the point on the Earth in m/s?
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