SOLUTION: One hose can fill a goldfish pond and 91 minutes, and two hoses confer the same pond in 42 minutes. Find how long it takes a second hose alone to fill the pond

Question 1130878: One hose can fill a goldfish pond and 91 minutes, and two hoses confer the same pond in 42 minutes. Find how long it takes a second hose alone to fill the pond
Found 3 solutions by josgarithmetic, ikleyn, addingup:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!

-
LCD,

Answer by ikleyn(52782)   (Show Source): You can put this solution on YOUR website!
.

Both hoses fill of the pond volume per minute. One hose fills of the pond volume per minute. Hence, the second hose fills - = = = = of the pond volume per minute. Hence, it will take 78 minutes for the second hose to fill the pond.

Solved.

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It is a standard and typical joint work problem.

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Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
One hose: 1/91
Second hose: We don't know, call it x: 1/x
Both hoses: 1/42
So now we have:
1/91 + 1/x = 1/42
(x + 91)/(91 * x) = 1/42
42(x + 91) = 91x
42x + 42 * 91x
42x + 3822 = 91x
42x + 3822 - 91x = 0
-49x + 3822 = 0
-49x = -3822
x = 78
It takes the 2nd hose alone 78 minutes to fill the pond
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