A and B can complete a piece of work in 80 and 120 days respectively. They together start the work but A left after 20 days. After another 12 days C joined B and now they complete the work in 28 more days. In how many days C can complete the work, working alone?
A did the work for 20 days, B did the work for (20 + 12 + 38) = 60 days, C did the work for 28 days.
Let C alone can complete the work in x days.
Fraction of work did by A + Fraction of work did by B + Fraction of work did by C = 1
Or 20/80+60/120+28/x=1
Or x=28×4 = 112 days
C alone can complete the work in 112 days
Create a FREE account and get:
Day-wise Structured & Planned Preparation Guide
By proceeding you agree to create your account
Free CAT Schedule PDF will be sent to your email address soon !!!
