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Pumps A, B and C operate at their respective constant rates. [#permalink]
16 Feb 2006, 10:59

00:00

A

B

C

D

E

Difficulty:

5% (low)

Question Stats:

95% (02:06) correct
5% (04:51) wrong based on 48 sessions

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]
09 Dec 2011, 03:12

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