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The Malibu Country Club needs to drain its pool for refinishing. The hose they use to drain it can remove \(60\) cubic

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by M7MBA » Wed Oct 07, 2020 10:27 am

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The Malibu Country Club needs to drain its pool for refinishing. The hose they use to drain it can remove \(60\) cubic feet of water per minute. If the pool is \(80\) feet wide by \(150\) feet long by \(10\) feet deep and is currently at \(80\%\) capacity, how long will it take to drain the pool?

A. \(24\) hours
B. \(26 \frac23\) hours
C. \(30\) hours
D. \(33 \frac13\) hours
E. \(160\) hours

Answer: B

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Re: The Malibu Country Club needs to drain its pool for refinishing. The hose they use to drain it can remove \(60\) cub

by Scott@TargetTestPrep » Sun Oct 11, 2020 5:45 am
M7MBA wrote: ↑
Wed Oct 07, 2020 10:27 am
 The Malibu Country Club needs to drain its pool for refinishing. The hose they use to drain it can remove \(60\) cubic feet of water per minute. If the pool is \(80\) feet wide by \(150\) feet long by \(10\) feet deep and is currently at \(80\%\) capacity, how long will it take to drain the pool?

A. \(24\) hours
B. \(26 \frac23\) hours
C. \(30\) hours
D. \(33 \frac13\) hours
E. \(160\) hours

Answer: B

Solution:

The amount of water that needs to be drained is:

80 x 150 x 10 x 4/5 = 80 x 150 x 8 = 96,000 ft^3

It will take 96,000/60 = 9600/6 = 1600 minutes, or 1600/60 = 80/3 = 26 2/3 hours, to drain the pool.

Answer: B

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