SOLUTION: one house can fill a goldfish pond in 84 minutes, and two hoses can fill the same pond in 35 minutes. find how long it takes the second hose alone to fill the pond?

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Question 358752: one house can fill a goldfish pond in 84 minutes, and two hoses can fill the same pond in 35 minutes. find how long it takes the second hose alone to fill the pond?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
one house can fill a goldfish pond in 84 minutes, and two hoses can fill the
same pond in 35 minutes.
find how long it takes the second hose alone to fill the pond?
:
Let x = time for the 2nd hose to fill the pond by itself
:
Let the completed job = 1 (a full pond)
:
Each hose will do a fraction of the job, the two fractions add up to 1
:
35%2F84 + 35%2Fx = 1
Multiply by 84x, results
35x + 84(35) = 84x
2940 = 84x - 35x
2940 = 49x
x = 2940%2F49
x = 60 min for the 2nd hose alone, (but that's without the house getting involved)