A rectangular swimming pool has a volume capacity of 2160 cubic feet. Water is being added to the pool at a rate of about 20 cubic feet per minute. Determine about how long it will take to fill the pool completely if there were already about 1200 gallons of water in the pool.

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Answer:

Step-by-step explanation:

y=mx+b

2160=20x+60.417)

2160= 20x+160.417

2160-160.417=20x+160.417-160.417

1999.583=20x

1999.583/20=20x/20

x= 99.98 min

Total time taken to fill the pool is 100 minutes

Given:

Amount of water already in pool = 1200 gallon

Total capacity of pool = 2160 cubic feet

Rate of water supply = 20 cubic feet per minute

Find:

Total time taken to fill the pool

Computation:

1 cubic feet = 7.5 gallon water

Amount of water already in pool = 1200 / 7.5

Amount of water already in pool = 160 cubic feet

Remain volume = 2160 - 160

Remain volume = 2000 cubic feet

Total time taken to fill the pool = 2000 / 20

Total time taken to fill the pool = 100 minutes

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