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Pumps A, B and C operate at their respective constant rates. [#permalink]

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16 Feb 2006, 11:59

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B

C

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E

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91% (01:27) correct
9% (01:47) wrong based on 143 sessions

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Pumps A, B and C operate at their respective constant rates. Pumps A and B operating simultaneously, can fill a certain tank in 6/5 hours; pumps A and C, operating simultaneously can fill the tank in 3/2 hours; and pumps B and C, operating simultaneously can fill the tank in 2 hours. How many hours does it take pumps A, B, and C operating simultaneously to fill the tank.
A- 1/3
B- 1/2
C- 2/3
D- 5/6
E- 1

Re: Pumps A, B and C operate at their respective constant rates. [#permalink]

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09 Dec 2011, 04:12

Rate of A + B = 5/6---------(i) Rate of A + C = 2/3 --------(ii) Rate of B + C = 1/2 --------(iii) Adding (i), (ii) and (iii) Together 2(A + B +C) = 12/6 = 1