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A small water pump would take 2 hours to fill an empty tank

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A small water pump would take 2 hours to fill an empty tank [#permalink] New post 07 Feb 2012, 06:00
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Can someone assist me with solving this question?

A small water pump would take 2 hours to fill an empty tank. A larger pump would take 1/2 hour to fill the same tank. How many hours would it take both pumps, working at their respective constant rates, to fill the empty tank if they began pumping at the same time?

A) 1/4
B) 1/3
C) 2/5
D) 5/4
E) 3/2
[Reveal] Spoiler: OA
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Re: Quant PS [#permalink] New post 07 Feb 2012, 06:09
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domu904 wrote:
Can someone assist me with solving this question?

A small water pump would take 2 hours to fill an empty tank. A larger pump would take 1/2 hour to fill the same tank. How many hours would it take both pumps, working at their respective constant rates, to fill the empty tank if they began pumping at the same time?

A) 1/4
B) 1/3
C) 2/5
D) 5/4
E) 3/2


Rate of the small pump is 1/2 tank/hour (rate is reciprocal of time);
Rate of the larger pump is 2 tank/hour;

Combined rate of the two pumps is 1/2+2=5/2 tank/hour, hence together they will fill the empty tank in 1/(5/2)=2/5 hours (time=job/rate).

Answer: C.

Theory on work/rate problems:
two-consultants-can-type-up-a-report-126155.html?hilit=know%20rate%20work%20reciprocal#p1030079
work-word-problems-made-easy-87357.html

Hope it helps.

P.S. Please post PS questions in the PS subforum: gmat-problem-solving-ps-140/ and DS questions in the DS subforum: gmat-data-sufficiency-ds-141/

No posting of PS/DS questions is allowed in the main Math forum.
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Re: A small water pump would take 2 hours to fill an empty tank [#permalink] New post 07 Jan 2014, 03:59
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Re: A small water pump would take 2 hours to fill an empty tank   [#permalink] 07 Jan 2014, 03:59
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3 One water pump can fill half of a certain empty tank in 3 hours. Anoth 36mba 4 04 Jan 2012, 09:17
Water is pumped into a partially filled tank at a constant GMATD11 1 21 Feb 2011, 03:53
Experts publish their posts in the topic A pump started filling an empty pool with water and continue Jcpenny 3 20 Nov 2008, 10:30
Small Pump takes two hours to fill tank. Large Pump takes .5 tlauber 1 23 Oct 2007, 05:16
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