SOLUTION: ben finishes his work in 8 days. frank works 3 times faster than ben.james works 5 times faster than ben.How many days will it take for them to finish the job together?

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Question 207414: ben finishes his work in 8 days. frank works 3 times faster than ben.james works 5 times faster than ben.How many days will it take for them to finish the job together?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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ben finishes his work in 8 days. frank works 3 times faster than ben.
james works 5 times faster than ben.
How many days will it take for them to finish the job together?
:
Ben's time = 8 days
Frank's time = 8%2F3 days
Jame's time = 8%2F5 days
:
Let t = time to finish working together
Let the completed job = 1
:
t%2F8 + t%2F%28%288%2F3%29%29 + t%2F%28%288%2F5%29%29 = 1
:
Invert the dividing fraction and multiply, results
t%2F8 + 3t%2F8 + 5t%2F8%29 = 1
:
Multiply equation by 8
t + 3t + 5t = 8
:
9t = 8
t = 8%2F9 days working together