Q. 285.0( 5 Votes )

two pipes running

Answer :

Time taken by both pipes to fill the tank


Work done by both pipes in a minute = 9/100


Let the time taken by one pipe to fill tank = x minutes


Work done by first pipe in one minute = 1/x


Time taken by another pipe to fill tank = x + 5 minutes


Work done by second pipe in one minute = 1/x + 5


work done by both pipes in one minute =


So,




200x + 500 = 9x2 + 45x


9x2 - 155x - 500 = 0


9x2 - 180x + 25x - 500 = 0


9x(x - 20) + 25(x - 20) = 0


(9x + 25)(x - 20) = 0


x = 20 or x = - 25/9(not possible as time is not negative)


time taken by first tank = 20 minutes and second tank is 25 minutes.


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