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An empty rectangular swimming pool has uniform depth. How long will it take...

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by BTGmoderatorLU » Thu May 28, 2020 10:52 am

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00:00

Answers

A

B

C

D

E

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Difficulty—

Source: Official Guide

An empty rectangular swimming pool has uniform depth. How long will it take to fill the pool with water?

1) Water will be pumped in at the rate of 240 gallons per hour (1 cubic foot = 7.5 gallons)
2) The pool is 60 feet long and 25 feet wide.

The OA is E
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Re: An empty rectangular swimming pool has uniform depth. How long will it take...

by Jay@ManhattanReview » Fri May 29, 2020 12:40 am
BTGmoderatorLU wrote: ↑
Thu May 28, 2020 10:52 am
 Source: Official Guide

An empty rectangular swimming pool has uniform depth. How long will it take to fill the pool with water?

1) Water will be pumped in at the rate of 240 gallons per hour (1 cubic foot = 7.5 gallons)
2) The pool is 60 feet long and 25 feet wide.

The OA is E
To know how much time it will take to fill the pool with water, we must know the volume of the pool.
Since no statement provides the depth of the pool, we cannot get the answer. Insufficient.

The correct answer: E

Hope this helps!

-Jay
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Re: An empty rectangular swimming pool has uniform depth. How long will it take...

by deloitte247 » Fri May 29, 2020 8:43 am
Given that -> pool is rectangular
-> it has uniform depth

Target question =>How long will it take to fill the pool with water?

Time to fill pool = volume of pool * rate of water influx
Where volume of rectangular pool = length * width * height
Time taken = (lwh) influx rate

Statement 1 => Water will be pumped at the rate of 240 gallons per hour (1 cubic foot = 7.5 gallons)
If 1 cubic foot = 7.5gallon then
x cubic foot = 240/7.5 = 32 cubic foot per hour
Influx rate = 32 cubic foot per hour
The length, width, and height are unknown so the time taken cannot be evaluated. Statement 1 is NOT SUFFICIENT

Statement 2=> The pool is 60 feet long and 25 feet wide
Length = 60 ft, width = 25 ft; height and influx rate is unknown. Therefore, the time taken cannot be evaluated. Statement 2 is NOT SUFFICIENT

Combining both statements together =>
From statement 1 => influx rate = 32 cubic foot per hour
From statement 2 => length = 60ft and width = 25ft
Height still remains unknown and time taken cannot be evaluated. Both statements together are NOT SUFFICIENT

Answer = E
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