SOLUTION: A boy can do a piece of work in 15 days & his father ca do it in 10 days. How long will it take them to do the work together?

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Question 97183: A boy can do a piece of work in 15 days & his father ca do it in 10 days. How long will it take them to do the work together?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A boy can do a piece of work in 15 days & his father ca do it in 10 days. How long will it take them to do the work together?
:
Let x = time required to complete the job together
:
Let the completed job = 1
:
x%2F15 + x%2F10 = 1
:
multiply equation by 30, to get rid of the denominator
30*x%2F15 + 30*x%2F10 = 30(1)
:
Cancel out the denominators and you have:
2x + 3x = 30
5x = 30
x = 30/5
x = 6 hrs working together
:
:
Check solution. Substitute 6 for x:
6%2F15 + 6%2F10 = 1
2%2F5 + 3%2F5 = 1