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A chinese restaurant has a large goldfish pond. suppose that an inlet pipe and a hose together can fill the pond in 88 hours. the inlet pipe alone can complete the job in one hour less time than the hose alone. find the time that the hose can complete the job alone and the time that the inlet pipe can complete the job alone.

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Kalahira
Let inlet pipe be, X, and hose be Y. Both can fill the pond in 88 hours. i. e, X + Y = 88. Suppose the hose, Y, can fill the pond in M hours. Then the inlet should do so in M -1 hours. I.e X = M-1. Substituting back into original eqn we have M-1 +M = 88. 2M = 88 -1 = 87; M = 43.5 which is time it takes for the hose to fill the pond. It follows that the inlet X will do the job in 43.5 -1 = 42.5.

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