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36mba
Joined: 16 Oct 2011
Last visit: 04 May 2013
Posts: 6
Given Kudos: 9
Location: Japan
Schools: INSEAD Jan '13 Sloan '15 Wharton '15
GMAT Date: 03-29-2012
WE:Consulting (Consulting)
04 Jan 2012, 10:17
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
78% (01:50) correct
22%
(02:12)
wrong
based on 840
sessions
History
Date
Time
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Not Attempted Yet
One water pump can fill half of a certain empty tank in 3 hours. Another pump can fill half of the same tank in \(3\frac{1}{2}\) hours. Working together, how long will it take these two pumps to fill the entire tank?
(A) \(1\frac{7}{13}\)
(B) \(1\frac{5}{8}\)
(C) \(3\frac{1}{4}\)
(D) \(3\frac{3}{13}\)
(E) \(3\frac{1}{2}\)
(A) \(1\frac{7}{13}\)
(B) \(1\frac{5}{8}\)
(C) \(3\frac{1}{4}\)
(D) \(3\frac{3}{13}\)
(E) \(3\frac{1}{2}\)
04 Jan 2012, 10:59
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36mba
One water pump can fill half of a certain empty tank in 3 hours. Another pump can fill half of the same tank in \(3\frac{1}{2}\) hours. Working together, how long will it take these two pumps to fill the entire tank?
(A) \(1\frac{7}{13}\)
(B) \(1\frac{5}{8}\)
(C) \(3\frac{1}{4}\)
(D) \(3\frac{3}{13}\)
(E) \(3\frac{1}{2}\)
(A) \(1\frac{7}{13}\)
(B) \(1\frac{5}{8}\)
(C) \(3\frac{1}{4}\)
(D) \(3\frac{3}{13}\)
(E) \(3\frac{1}{2}\)
One pump can fill a tank in 3 hours and another in 3.5 hours
so the rate at which both can half fill the tank is (1/3+1/3.5) => 13/21
Thus half of the tank can be filled in 21/13
so for filling the complete tank => 21/13*2 = 42/13 (D)
04 Jan 2012, 11:02
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1st pump takes (3+3)=6 hours to fill the full tank
2nd pump takes (3.5+3.5)=7 hours to fill the full tank
Therefore, 1/6 + 1/7= 1/T [T= time it will take if they work together to fill the tank]
solving for T= 3 3/13=D
2nd pump takes (3.5+3.5)=7 hours to fill the full tank
Therefore, 1/6 + 1/7= 1/T [T= time it will take if they work together to fill the tank]
solving for T= 3 3/13=D
