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Two pipes running together can fill the tank in 11 $\frac{1}{9}$ minutes. If one pipe takes 5 minutes more than the other to fill the tank separately, find the time in which each of the pipes fills the tank separately.

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10 min, 15 min

20 min, 25 min

15 min, 30 min

40 min, 60 min

answer is B.

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Detailed Solution

Let the time taken by pipe (A) is x min.
And time taken by pipe B is (x + 5) min
According to question

\frac{x (x + 5)}{x + x + 5}

\frac{100}{9}

x^{2}

+ 5x) = 200x + 500
9

x^{2} -

155x

-

500 = 0

x =

\frac{155 \pm 205}{2 (9)}

x = 20, x+5 = 25
x = 25
Time taken by pipe A = 5 min
Time taken by pipe B = 25 min

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