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A tank is filled by three pipes with uniform flow. The first two pipes

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Concentration: International Business, Operations
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A tank is filled by three pipes with uniform flow. The first two pipes  [#permalink]

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New post 05 Apr 2019, 06:08
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A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

56% (03:06) correct 44% (01:58) wrong based on 18 sessions

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A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. What is the time required by the first pipe to fill the tank alone?

A. 6 hours

B. 10 hours

C. 15 hours

D. 30 hours

E. 36 hours

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Re: A tank is filled by three pipes with uniform flow. The first two pipes  [#permalink]

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New post 05 Apr 2019, 07:29
t1 time the first pipe takes to fill the tank
t2 time the second pipe takes to fill the tank
t3 time the third pipe takes to fill the tank


We know that pipes 1 and 2 operating simultaneously take the same time to fill the tank as pipe 3 operating alone,

so:


1/t1 +1/t2 =1/t3

We also know that pipe 2 fills the tank 5 hours faster than pipe 1: t2= t1 - 5

And pipe 2 is 4 hours slower than the pipe 3: t3= t2-4


So we have the following relationships:

t1

t2= t1-5

t3=t2-4= t1-9


If we try the diferent solutions proposed, we find that Answer C is the correct answer with t1=15; t2=10 and t3= 6


1/15 + 1/10 =5/30 =1/6 (1/t3= 1/t1+1/t2)
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Re: A tank is filled by three pipes with uniform flow. The first two pipes   [#permalink] 05 Apr 2019, 07:29
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A tank is filled by three pipes with uniform flow. The first two pipes

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