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Question

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.


  1. 17x2+44x48=0

  2. 17x2+44x38=0

  3. 17x2+54x48=0

  4. 17x2+24x48=0


Solution

The correct option is A

17x2+44x48=0


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

1x+1x+4=1712

x+4+xx(x+4)=1712

12 (2x+4)=17x (x+4)

24x+48=17x2+68x

17x2+44x48=0

 

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