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 ?

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) (Show Source): You can put this solution on YOUR website!
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
+ + = 1
invert the dividing fraction and multiply, results
+ + = 1
multiply by 8 to get rid of the denominators, results
t + 3t + 5t = 8
9t = 8
t = days working together
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