SOLUTION: A can complete his work in 12 days B can 15 days C can 24 days seperately. If A work for 3 days and leave and after A leaving B could work for 5days And he also leave. Then C how

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A can complete his work in 12 days B can 15 days C can 24 days seperately. If A work for 3 days and leave and after A leaving B could work for 5days And he also leave. Then C how      Log On


   



Question 775331: A can complete his work in 12 days B can 15 days C can 24 days seperately. If A work for 3 days and leave and after A leaving B could work for 5days And he also leave. Then C how much days take to complete this remaining work
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Edited to make more sense.
:
A can complete the work in 12 days
B can in 15 days
C can in 24 days (separately).
If A works for 3 days and leaves, and after A leaving, B works for 5days, and he also leaves, then C takes how many days to complete the remaining work?
:
let t = time required by C to complete the work
Let the completed job = 1
:
A shared work equation:
: A + B + C = 1
3%2F12 + 5%2F15 + t%2F24 = 1
Reduce the fractions
1%2F4 + 1%2F3 + t%2F24 = 1
multiply by 24 to clear the fractions, resulting in
6 + 8 + t = 24
t = 24 - 14
t = 10 hrs for C to complete the job