# Worksheet: Unit Rate

In this worksheet, we will practice finding a unit rate and using it to solve problems in the real world.

**Q2: **

Which of these is the correct definition for the rate?

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

**Q5: **

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

**Q6: **

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

**Q7: **

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

**Q8: **

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

**Q9: **

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

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

**Q10: **

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

**Q11: **

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

**Q12: **

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

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

**Q13: **

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.

**Q14: **

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

- Athe first ship
- Bthe second ship

**Q15: **

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.

**Q16: **

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

**Q17: **

William 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?

**Q18: **

Anthony was offered $4,035 annually for a lifeguard job on weekends. Determine his monthly rate of pay.

**Q19: **

Express the following ratio as a unit rate, rounding to the nearest hundredth: 10 batteries in 6 months.

**Q20: **

Determine the unit rate for a group of 990 people who went to the park between the hours of 9:00 and 11:00 am.

**Q21: **

Jennifer traveled 1,632 miles in 4 days. Determine the unit rate that represents the average miles she traveled per day during her trip.

**Q22: **

Express, to the nearest hundredth, the following ratio as a unit rate: 1,210 gallons in 20 days.

**Q23: **

Which of the following rates can be classified as a unit rate?

- A$42 for 6 cards
- B$3.80 for 1 gallon of water
- C 90 miles per 30 hours
- D$2.40 for 4 oranges
- E30 pages in 45 minutes

**Q24: **

A family spends 560 LE in 2 days. If they spend the same amount each day, how much would they spend in 1 day?