SOLUTION: A can have a piece of work done in 8 days, B can work three times faster than the A, C can work five times faster than A. How many days will they take to do the work together ?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A can have a piece of work done in 8 days, B can work three times faster than the A, C can work five times faster than A. How many days will they take to do the work together ?       Log On


   

Question 262698: A can have a piece of work done in 8 days, B can work three times faster than the A, C can work five times faster than A. How many days will they take to do the work together ?
(a) 3 days (b) 8/9 days (c) 4 days (d) can't say

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A can have a piece of work done in 8 days, B can work three times faster than the A, C can work five times faster than A. How many days will they take to do the work together ?
:
Let t = time required when working together
Let the completed job = 1
:
A shared work equation
t%2F8 + t%2F%288%2F3%29 + t%2F%288%2F5%29 = 1
invert the dividing fraction and multiply, results
t%2F8 + %283t%29%2F8 + %285t%29%2F8 = 1
multiply by 8 to get rid of the denominators, results
t + 3t + 5t = 8
9t = 8
t = 8%2F9 days working together