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If a water tank is being filled at a rate of 2 cubic feet per minute

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If a water tank is being filled at a rate of 2 cubic feet per minute  [#permalink]

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New post 07 May 2017, 13:46
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A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

56% (02:02) correct 44% (01:36) wrong based on 108 sessions

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If a water tank is being filled at a rate of 2 cubic feet per minute while the tank is also leaking at a rate of 0.1 cubic feet every 10 seconds. If the tank is 7 feet wide, 2 feet long, and 2 feet high, how many hours will it take to fill the tank?

A. 1/20
B. 1/5
C. 1/3
D. 7/15
E. 20

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If a water tank is being filled at a rate of 2 cubic feet per minute  [#permalink]

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New post Updated on: 07 May 2017, 20:50
water tank is being filled at a rate of 2 cubic feet per minute

tank is also leaking at a rate of 0.1 cubic feet every 10 seconds = 0.6 cubic feet per minute

Net water being filled in the tank = 2 - 0.6 = 1.4 cubic feet per minute

Volume of the tank = 7 * 2 * 2 = 28 cubic feet

hours will it take to fill the tank = 28/1.4 = 20 minutes = 1/3 hour

Answer is C. 1/3

Originally posted by quantumliner on 07 May 2017, 14:55.
Last edited by quantumliner on 07 May 2017, 20:50, edited 1 time in total.
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If a water tank is being filled at a rate of 2 cubic feet per minute  [#permalink]

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New post Updated on: 07 May 2017, 17:51
Inflow rate into the tank: 2 cubic feet/min;
Leakage: 0.1 cubic feet/ 10 seconds which is nothing but 0.6 cubic feet/min
Hence, Effective inflow: 1.4 cubic feet/min
Now, volume of the tank: 7ft*2ft*2ft = 28 cubic feet
Therefore, time taken to fill the tank: 28 cubic feet/ 1.4 cubic feet/min i.e 20 minutes which is nothing but 1/3 hours.
Hence, the correct option is option C.

Hope it helps :)

Thank you for helping me with the error InfiniteLoop80.

Originally posted by vaibhav3005 on 07 May 2017, 16:04.
Last edited by vaibhav3005 on 07 May 2017, 17:51, edited 1 time in total.
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Re: If a water tank is being filled at a rate of 2 cubic feet per minute  [#permalink]

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New post 07 May 2017, 17:08
1
Rate of Inflow of water = 2 cu ft/ min
Rate of Outflow of water = 0.1 cu ft/10 seconds = 0.6 cu ft/min
Net rate of inflow = 2 - 0.6 = 1.4 cu ft/min
Volume of the tank = 7 * 2 * 2 = 28 cu ft
Time taken to fill the tank = volume to be filled/ rate = (28 cu ft)/ (1.4 cu f/min) = 20 minutes
Since the question asks for answer in hours, answer = 1/3 hour Option C
Re: If a water tank is being filled at a rate of 2 cubic feet per minute &nbs [#permalink] 07 May 2017, 17:08
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