SOLUTION: A can do a piece of work in 2 days as B can do in 3 days. B can do as much work in 4 days as C can do in 5 days. If A,B& C finish the work together in 10 days. In how many days B c

Question 717612: A can do a piece of work in 2 days as B can do in 3 days. B can do as much work in 4 days as C can do in 5 days. If A,B& C finish the work together in 10 days. In how many days B can finish the work alone ?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A can do a piece of work in 2 days as B can do in 3 days.
=
Cross multiply
3A = 2B
A = B
:
B can do as much work in 4 days as C can do in 5 days.
=
4C = 5B
C = B
:
If A, B & C finish the work together in 10 days.
Let the completed job = 1
+ + = 1
Replace A and C
+ + = 1
Multiply by B, to clear the denominators
(10) + (10) + (10) = B
+ + = B
multiply by 12
3(50) + 100 + 4(20) = 10B
150 + 100 + 80
330 = 10B
B = 330/10
B = 33 days B can finish the work alone?
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