1.

Two pipes runningtogether can fill a tank in `11 1/9`minutes. If one pipe takes 5minutes more than the other to fill the tank separately, find the time inwhich each pipe would fill the tank separately.

Answer» Correct Answer - 20 min, 25 min
Let the faster pipe take x min to fill it. Then, the other takes `(x+5)` min.
`:." "(1)/(x)+(1)/((x+5))=(9)/(100)implies(100(2x+5)=9(x^(2)+5x)`
`implies" "9x^(2)-155x-500=0implies9x^(2)-180x+25x-500=0.`
HINT Quadratic formula may be used.


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