SOLUTION: x and y persons can do same job in 4 and 6 hours respectively,how long does it take for x and y persons to the the same job together?

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Question 475992: x and y persons can do same job in 4 and 6 hours respectively,how long does it take for x and y persons to the the same job together?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
x and y persons can do same job in 4 and 6 hours respectively,
how long does it take for x and y persons to the the same job together?
:
Let t = time required when working together
Let the completed job = 1
:
Each will do a fraction of the job. The two fractions add up to 1, a completed job.
:
t%2F4 + t%2F6 = 1
multiply by 12, to get rid of the denominators, results
3t + 2t = 12
5t = 12
t = 12%2F5
t = 2.4 hrs
:
:
Check this:
2.4/4 + 2.4/8 = 1