One hose can fill a goldfish pond in 14 minutes and two hoses can fill the same pond in 10 minutes. find how long it takes the second hose alone to fill the pond.

  35 minutes

Step-by-step explanation:

The rate of filling from the first hose is 1/14 ponds per minute. From both hoses, the rate is 1/10 ponds per minute. Then the rate of filling from the second hose is the difference of these:

  (1/10 -1/14) = (14 -10)/(10·14) = 4/140 = 1/35 . . . . ponds/minute

So, the second hose can fill the pond in 35 minutes.

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step-by-step explanation: