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Calculate the unit rate for each scenario, providing the corresponding units:

a) 675 litres of water pumped into a tank in 24 minutes.
b) A cyclist travels 120 km in 5 hours.

1 Answer

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Final answer:

To find each unit rate, divide the total quantity by the total time. For pumping water, the unit rate is 28.125 litres per minute. For cycling, the unit rate is 24 kilometers per hour.

Step-by-step explanation:

The student has asked to calculate the unit rate for two different scenarios. To calculate a unit rate, we divide the given value by the number of units to find out how much of something occurs or is present in a single unit.

Scenario A

For scenario A, where 675 litres of water are pumped into a tank in 24 minutes, the unit rate is calculated as:

Unit rate = Total quantity ÷ Total time
= 675 litres ÷ 24 minutes
= 28.125 litres per minute

Scenario B

For scenario B, with a cyclist traveling 120 km in 5 hours, we find the unit rate as follows:

Unit rate = Total distance ÷ Total time
= 120 km ÷ 5 hours
= 24 kilometers per hour (km/h)

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