Video: US-SAT05S4-Q05-139167608682

An owner of a building wants to fill a water tank to its fullest capacity. The capacity of the tank is 2000 fluid barrels, where 1 fluid barrel = 31.5 gallons. The owner used 16 pumps simultaneously to fill the tank. If each pump works at a rate of 18.75 gallons per minute, how long will it take to fill the tank?

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Video Transcript

An owner of a building wants to fill a water tank to its fullest capacity. The capacity of the tank is 2000 fluid barrels, where one fluid barrel is equal to 31.5 gallons. The owner used 16 pumps simultaneously to fill the tank. If each pump works at a rate of 18.75 gallons per minute, how long will it take to fill the tank?

We’re told in the question that the capacity of the tank is 2000 fluid barrels. One fluid barrel is equal to 31.5 gallons. This means that we can calculate the capacity of the tank, in gallons, by multiplying 2000 by 31.5. This is equal to 63000 gallons. The capacity of the tank when full of water is 63000 gallons. The owner uses 16 pumps simultaneously. Therefore, the number of gallons per pump is 63000 divided by 16. This is equal to 3987.5 gallons. Each one of the 16 pumps must fill 3987.5 gallons.

We’re told that each pump works at a rate of 18.75 gallons per minute. This means we need to divide 3987.5 by 18.75. This is equal to 210. And as the rate was in gallons per minute, the time is in minutes. It takes 210 minutes to fill the tank. We know that 60 minutes is equal to one hour. This means that 180 minutes is equal to three hours as 60 multiplied by three is equal to 180. 210 minutes is therefore equal to three hours and 30 minutes. This could also be written as three and a half or 3.5 hours.

Using 16 pumps simultaneously, the owner can fill the tank in three hours and 30 minutes.

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