Question

A pump can deliver water at the rate of 200 gallons per minute. How long, in hours and minutes, will it take the pump to fill a 58000-gallon tank?

a) 4 hours and 50 minutes
b) 5 hours and 30 minutes
c) 4 hours and 50 minutes
d) 5 hours and 20 minutes

Answer 1

It will take 4 hours and 50 minutes for a pump to fill a 58,000-gallon tank at a rate of 200 gallons per minute by dividing the total volume by the rate and then converting minutes to hours.

Step-by-step explanation:

The student is asking how long it will take a pump to fill a 58,000-gallon tank if the pump delivers water at a rate of 200 gallons per minute. To solve this, we perform a simple calculation dividing the total volume by the rate of flow:

1. Calculate the total time in minutes: Total volume / Rate of flow = 58,000 gallons / 200 gallons/minute = 290 minutes.
2. Convert the total time into hours and minutes: There are 60 minutes in an hour, so 290 minutes is 290 / 60 which equals to 4 hours with a remainder of 50 minutes.

Therefore, it would take 4 hours and 50 minutes to fill the 58,000-gallon tank.