Two pipes running together can fill a cistern in 6min .if one pipe takes 5min more than the other to fill it. Find the time in which each pipe would fill the cistern
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10, 15
Step-by-step explanation:
let pipeA takes x minutes
& pipe B takes = (x + 5) mins
1/x + 1/(x+5) = 1/6
6(2x + 5) = x(x+5)
12x + 30 = x^2 + 5x
x^2 - 7x - 30 = 0
x^2 - 10x + 3x - 30 = 0
x = 10 , -3
neglect - 3, time can't be taken as -ve .
pipe A can fill the cistern in 10 minsand pipe B will fill it in
= x+5 = 10+5 = 15 minutes
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