Two pipes running together can fill a cistern in 1217 minutes. If one pipe takes 4 minutes more than the other to fill it, write the second degree equation from which we can find time taken by the pipe to fill the cistern.
Suppose the first pipe takes x minutes to fill the cistern. Then the second pipe will take (x+4) minutes to fill the cistern.
∴ Portion of the cistern filled by the first pipe in one minute =1x
⇒ Portion of the cistern filled by the second pipe in one minute =1x+4
It is given that the cistern is filled in 1217 minutes.
⇒ Portion of the cistern filled in one minute by both pipes together =1712
⇒12 (2x+4)=17x (x+4)