Tank

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silverflamein: Junior | Next Rank: 30 Posts; Posts: 23; Joined: Wed Oct 19, 2011 7:12 pm

by silverflamein » Mon Nov 07, 2011 7:59 pm

A tank fitted with an inlet takes 1 hr to fill completely. The tap was turned on when the tank was empty. When the tank was half filled , it developed a leak and as a result the tank took 65 minutes to completely fill. As soon as the tank got filled completely, the tap was turned off and the leakage continued. How long will it take for the leakage to empty the tank completely ??

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Source: Beat The GMAT — Problem Solving | Mon Nov 07, 2011 7:59 pm

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Mon Nov 07, 2011 8:28 pm

silverflamein wrote:A tank fitted with an inlet takes 1 hr to fill completely. The tap was turned on when the tank was empty. When the tank was half filled , it developed a leak and as a result the tank took 65 minutes to completely fill. As soon as the tank got filled completely, the tap was turned off and the leakage continued. How long will it take for the leakage to empty the tank completely ??

Let us assume that the capacity of the tank is 60 L.

Hence,
Only tap : Entry of 60 L per 60 min = 1 L/min
Tap + Leak : Entry of 30 L per 35 min = 30/35 L/min = 6/7 L/min

Therefore, only leak : Exit of (1 - 6/7) = 1/7 L/min

Thus 1/7 L leaves the tank through the leakage in 1 minute.
--> 60 L leaves the tank through the leakage in 60*7 minutes = 7 hours

Thus, it will take 7 hours for the leakage to empty the tank completely.

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GMAT Expert, Admissions and Career Guidance
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GmatKiss: Legendary Member; Posts: 2789; Joined: Tue Jul 26, 2011 12:19 amFollowed by: 43 members; Location: Chennai, India; Thanked: 206 times; GMAT Score:640

by GmatKiss » Mon Nov 07, 2011 10:59 pm

silverflamein wrote:A tank fitted with an inlet takes 1 hr to fill completely. The tap was turned on when the tank was empty. When the tank was half filled , it developed a leak and as a result the tank took 65 minutes to completely fill. As soon as the tank got filled completely, the tap was turned off and the leakage continued. How long will it take for the leakage to empty the tank completely ??

Is there any reason for not posting the Q with the answer choices????
what is the source of this question??

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