SOLUTION: A completes one work in20 days. B cmpletes the same work in 25 days while C completes the same in 30 days. If intially A started the work and after 4 days he quit it. Next B carry

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A completes one work in20 days. B cmpletes the same work in 25 days while C completes the same in 30 days. If intially A started the work and after 4 days he quit it. Next B carry       Log On


   

Question 309762: A completes one work in20 days. B cmpletes the same work in 25 days while C completes the same in 30 days. If intially A started the work and after 4 days he quit it. Next B carry forward the work & he copleted the half of the remaining work then how in how many days the C will cmplete the remaining work?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A completes one work in 20 days.
B cmpletes the same work in 25 days
while C completes the same in 30 days.
:
If initially A started the work and after 4 days he quits it.
Next B carry forward the work & he completed the half of the remaining work
then how in how many days the C will complete the remaining work?
:
Let the completed work = 1
:
A does 4%2F20 = 1%2F5; 4%2F5 remains
:
B does 1%2F2 * 4%2F5 = 2%2F5 remains
:
C%2F30 = 2%2F5
cross multiply
5C = 60
C = 60%2F5
C = 12 days to complete it
:
:
Check
A does 1%2F5
B does 2%2F5
C does 2%2F5
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