Question

A swimming pool contains 53.5 kiloliters of water. How long (in hours) will it take to completely fill the pool using a garden hose that flows at 24.3 gallons per minute?

a) 17.8 hours
b) 23.4 hours
c) 14.3 hours
d) 10.2 hours

Answer 1

To fill the swimming pool, it will take approximately 9.71 hours using the given garden hose.

Step-by-step explanation:

To find the time it will take to fill the swimming pool, we need to convert the given units and calculate the flow rate of the garden hose.

First, let's convert 53.5 kiloliters to liters. 1 kiloliter is equal to 1000 liters, so 53.5 kiloliters is equal to 53,500 liters.

Next, let's convert the flow rate of the garden hose from gallons to liters. 1 gallon is equal to approximately 3.785 liters, so 24.3 gallons per minute is equal to approximately 91.91 liters per minute.

Now, we can calculate the time it will take to fill the pool. The formula to calculate time is volume divided by flow rate. In this case, it will be 53,500 liters divided by 91.91 liters per minute. The result is approximately 582.33 minutes.

To convert minutes to hours, we divide by 60. So, 582.33 minutes is approximately 9.71 hours.

Therefore, it will take approximately 9.71 hours to completely fill the pool using the garden hose.