Question
Download Solution PDFPipe A and pipe B running together can fill a cistern in 6 minutes. If B takes 5 minutes more than A to fill it, then the time in which A and B will fill that cistern separately will be, respectively, __________ .
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Pipe A and pipe B running together can fill a cistern in 6 minutes.
B takes 5 minutes more than A to fill it.
Concept used:
Efficiency = (Total work / Total time taken)
Efficiency = work done in a single day
Calculation:
Let Pipe A takes x minutes
So pipe B takes x+5 minutes
As per the question,
1/x + 1/(x+5) = 1/6
2x + 5 = x(x+5) 1/6
12x + 30 = x2 + 5x
x2 - 7x - 30 = 0
(x+3)(x-10) = 0
So x = 10
Time taken by B is 10 + 5 = 15 minutes
∴ The correct option is 4
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