Worksheet: Unit Rate

In this worksheet, we will practice finding unit rates and solving problems in a real-world context that involve unit rates.

Q1:

Which of these is the correct definition for the rate?

A The rate is the ratio between two quantities with different units.
B The rate is the ratio between two quantities with the same unit.

Q2:

Determine the unit rate for the following situation: William earns $360 in 40 hours.

Q3:

If a runner ran 13 miles in 2 hours at a constant rate, how many miles did she run per hour?

Q4:

A car uses 10 liters of fuel to travel 50 km. What is the car’s fuel consumption rate in L/km?

A 40 L/km
B 5 L/km
C 0.4 L/km
D 0.2 L/km

Q5:

The parking fees of a parking lot are $5 for 25 hours and $10 for 50 hours. Determine, to the nearest cent, the cost per hour.

Q6:

Michael drove 244 km in 4 hours. Giving your answer correct to one decimal place, what is his average speed in km/h?

Q7:

A student uses 42 sheets of card to make 3 equal-sized cubes. How many sheets do they use for each cube?

Q8:

What is the average speed of a sound wave that travels 895 meters in 2.5 seconds?

Q9:

Given that a factory produces 7 500 cans of juice in 5 hours, what is its average rate of production in cans/hour?

Q10:

Runner A travels 75 meters in 13 seconds. Runner B travels 88 meters in 0.4 minutes. Which runner is faster?

ARunner A
BRunner B

Q11:

A ship uses 512 litres of fuel to travel 18 km. Another ship uses 855 litres of the same fuel to travel 40 km. Which ship consumes less fuel per km?

Athe second ship
Bthe first ship

Q12:

Machine A produces 129 m of cloth in 3 hours. Machine B produces 121 m of the same cloth in 5 and a half hours. Which machine has the faster production rate?

AMachine A
BMachine B

Q13:

Factory A produces 3 000 bars of soap in hours. Factory B produces 5 500 similar bars of soap in hours. Which factory produces more bars of soap per hour?

AFactory B
BFactory A

Q14:

If Amelia drinks 35 glasses of juice per week, then how many glasses of juice per day would that be, on average?

Q15:

Given that a water faucet leaks 7 800 liters of water in 5 hours, find the leakage rate per minute.

A
1 560
L/min
B L/min
C 2 L/min
D 26 L/min
E L/min

Q16:

Given that a tractor ploughs 200 acres in 20 hours, calculate the number of acres it would plough in 2 hours at the same rate.

Q17:

A car was traveling at a speed of 32 meters per second. At that rate, how long would it take for the car to cover a distance of 2 160 meters?

Q18:

A car consumes 33 litres of gasoline to travel 858 km. How many litres will it consume at the same rate in travelling 1 300 km?

Q19:

Carlos drives 233 km in 6 hours. Giving your answer correct to two decimal places, at this rate, how long would it take him to drive 398 km?