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ool is filled by three pipes with uniform flow. The 1t pipe and 3" pipeoperating simultaneously fill the pool in the same time during which the pooltogetheris filled by the 2nd pipe alone. 3d pipe fill the pool five hour faster than 1st pifour hours slower than 2nd pipe. Find the time required by each pipe to fill the poolseparatelytocircle with centre Q from an external point T |
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Answer» Let the volume of the pool = V Let the time taken by second pipe to fill the pool = x hours time taken by first pipe to fill the pool = (x+5) hours, and time taken by third pipe to fill the pool = (x-4) hours. In One hour, First pipe can fill parts of volume of pool Second pipe can fill parts of volume of pool Third pipe can fill parts of volume of pool Now, It is given that, Time taken by first and second pipe simultaneously = Time taken by third pipe alone Neglect the negative value. Thus,the time taken by second pipe to fill the pool = x hours=10 hours. time taken by first pipe to fill the pool = (x+5) hours= 10+5=15 hours. time taken by third pipe to fill the pool = (x-4) hours=1-4=6 hours. |
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