SOLUTION: If Peter can build a sandbox five times as fast as Gene, and they can build a sandbox together in 5 hours, how long would it take each on them to build a sandbox alone?

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Question 884794: If Peter can build a sandbox five times as fast as Gene, and they can build a sandbox together in 5 hours, how long would it take each on them to build a sandbox alone?

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
Building the sandbox is 1 job. Peter and Gene each have his own rate of work.

Let x be the time in hours for Gene to build the sandbox (1 job).
The rates of work are these:

Peter: 1%2F%285x%29
Gene: 1%2Fx
Both Together: 1%2F5

The rates work as sum when they both work together.
highlight%281%2F%285x%29%2B1%2Fx=1%2F5%29.
Solve for x and you can find 5x. Your elementary school fraction skills are all you need.

Answer by MathTherapy(10549) About Me  (Show Source):
You can put this solution on YOUR website!
If Peter can build a sandbox five times as fast as Gene, and they can build a sandbox together in 5 hours, how long would it take each on them to build a sandbox alone?


Peter can build sandbox in highlight_green%28highlight_green%286%29%29 hours

Gene can build sandbox in 5(6), or highlight_green%28highlight_green%2830%29%29 hours

You can do the check!! 



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