1.

Two taps running together can fill a tank in `3(1/13)` hours. If one tap takes3 hours more than the other to fill the tank, then how much time willeach tap take to fill the tank ?

Answer» Correct Answer - 5 hours, 8 hours
Let the faster pipe take x hr to fill it. Then, the other takes `(x+3)` hr.
`:." "(1)/(x)+(1)/((x+3))=(13)/(40)implies((x+3)+x)/(x(x+3))=(13)/(40)`
`implies13x^(2)-41x-120=0`
`impliesx=(41+-sqrt(1681+6240))/(26)=(41+-sqrt(7921))/(26)=((41+-89))/(26)=x=5.`


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