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.
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,
⇒100 (5+2x)=9x (x+5)
⇒9x (x−20)+25 (x−20)=0
x=20 or −259 (Neglect negative val;uie of x)
∴ Time in which each pipe would fill the tank separately are 20 mins and 25 mins respectively.