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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 separately, find the time in which each pipe would fill the tank separately.

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Solution

Let the time taken by the one tap to fill the tank be x minutes.

then, other pipe takes (x+5) minutes to fill the tank.

According to the question,

1x+1x+5=1100/9

x+5+xx(x+5)=9100

100 (5+2x)=9x (x+5)

500+200x=9x2+45x

9x2+45x200x500=0

9x2155x500=0

9x2180x+25x500=0

9x (x20)+25 (x20)=0

(9x+25) (x20)=0

x=20 or 259 (Neglect negative val;uie of x)

x=20

Time in which each pipe would fill the tank separately are 20 mins and 25 mins respectively.


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