Two pipes running together can fill a tank in `11 1/9` 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.

Answer

20 min, 25 min

Explanation

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.