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?

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) (Show Source): You can put this solution on YOUR website!
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
:
+ = 1
:
multiply equation by 30, to get rid of the denominator
30* + 30* = 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:
+ = 1
+ = 1
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