Q. 493.7( 3 Votes )

Two pipes running together can fill a cistern in minute. If one pipe takes 1 minutes more than the other to fill the cistern, find the time in which each pipe would fill the cistern.

Answer :

Let the first pipe fill the cistern in ‘X’ minutes, then the second pipe requires ‘(X+1)’ minutes to fill it.

Applying the concept of Unitary Method,

In one minute, both pipes will fill the part of cistern as below:

60X + 30 = 11X2 + 11X

11X2 – 49X – 30 = 0

On applying Sreedhracharya formula

X = – or X = 5

The time required to fill the cistern is 5 & 6 minutes respectively. (as only positive values are considered).

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