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# Pumps

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Manager
Joined: 31 Jul 2006
Posts: 237
Followers: 3

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10 Oct 2008, 23:18
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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 two hours. How many hours does it take A, B, and C operating simultaneousely to fill the tank
a. 1/3
b. 1/2
c. 2/3
d. 5/6
e. 1
Ans : 1
Manager
Joined: 27 Sep 2008
Posts: 76
Followers: 1

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11 Oct 2008, 10:57
1/a+1/b = 1/(6/5) two pumps

1/b+1/c = 1/2 two pumps

1/a+1/c = 1/(3/2) two pumps

(1/a+1/b+1/b+1/c+1/a+1/c)/2 = amount of time of three pumps (six pumps/2)

(5/6+1/2+2/3)/2 = 1

Re: Pumps   [#permalink] 11 Oct 2008, 10:57
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