It can take 12 hours to fill a swimming pool using two pipes. If the pipe of larger diameter is used for
4 hours and the pipe

1 thought on “It can take 12 hours to fill a swimming pool using two pipes. If the pipe of larger diameter is used for<br />4 hours and the pipe”

1. Answer:

   let larger pipe can fill pool separately in x hrs

   let smaller pipe can fill pool separately in y hrs

   pool filled by larger pipe in 1 hr=1/x

   pool filled by larger pipe in 4 hr=4/x

   pool filled by smaller pipe in 1 hr=1/y

   pool filled by smaller pipe in 9 hr=9/y

   4/x+9/y = .5

   4y+9x=.5xy———-1

   pool filled by larger pipe in 12 hr=12/x

   pool filled by smaller pipe in 12 hr=12/y

   12/x+12/y=1

   12x+12y=xy

   put value of xy in equation 1

   9x+4y=6x+6y

   3x=2y

   y=1.5x

   so exact value of filling is not possible to determine but but from the final equation we can conclude that time taken by smaller pipe is 1.5 times time taken by larger pipe

   for example If larger pipe can fill the pool in 2 hrs then smaller pipe will take 3 hrs to fill the pool separately

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