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Question

Two pipes running together can fill a tank in 1119 minutes. If one pipe takes 5 minutes more than the other to fill the tank , find the product of the time in which each pipe would fill the tank .

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Solution

Two pipes together fill tank in 1119 min.

Let the time taken by one pipe to fill them separately be x min.

Time taken by another pipe to fill tank separately is x+5 min.

(x)(x+5)x+x+5=1009

9(x2+5x)=200x+500

9x2155x500=0

x=155±2052(9)

x=3602(9)

x=20 - Equation 1

x+5=25 -Equation 2

Product of times taken by them both separately=(x)(x+5)=500

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