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An empty pool of water is filled to capacity

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An empty pool of water is filled to capacity

by sachin_yadav » Thu Feb 25, 2016 5:27 am
An empty pool of water is filled to capacity in 60 minutes by hose that adds 3 cubic feet of water per minute. The square of pool is 12 feet wide. How deep is the water in the pool. (There are 12 inches per foot)

A. 1 foot, 1 inches
B. 1 foot, 2 inches
C. 1 foot, 3 inches
D. 2 feet, 1 inches
E. 2 feet, 5 inches

OA is C
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by MartyMurray » Thu Feb 25, 2016 5:34 am
60 minutes x 3 cubic feet/minute = 180 cubic feet

The pool is a 12 foot square. So the area of the surface of the pool is 144 feet. In other words, if the depth were 1 foot 0 inches, the pool would hold 144 cubic feet of water.

180/144 = 15/12 = 5/4 = 1 1/4

So the pool must be 1 1/4 feet deep. 1 foot = 12 inches 1/4 foot = 3 inches

The depth of the pool is 1 foot 3 inches.

The correct answer is C.
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