Discussion :: Pipes and Cistern
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Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill the cistern. How much time will be taken by A to fill the cistern separately?
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Answer : Option C
Explanation :
Let the cistern be filled by pipe A alone in x hours.
Then, pipe B will fill it in (x + 6) hours.
\( \frac { 1 } {X }\)+\( \frac { 1 } {(X+6) }\)=\( \frac { 1 } {4 }\)
\( \frac { X+6+X } { X(X+6) }\)=\( \frac { 1 } {4 }\)
x2 - 2x - 24 = 0
(x -6)(x + 4) = 0
x = 6. [neglecting the negative value of x]
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