A can do \(\frac{1}{3}\)rd of a work in 30 days, B can do \(\frac{2}{5}\)th of the same work in 24 days. They worked together for 20 days. C completes the remaining work in 8 days. Working together A, B and C will complete the same work in:
Answer & explanation
Correct answer: option 4
Time taken by A to do whole work = 90 days
Time taken by B to do \(\frac{2}{5}\) part of work is 24 days
Time taken by B to do whole work = 60 days
A and B together work for 5 days .
Total work = Efficiency × Number of days
Total work = 5R × 20 = 100R
Remaining work = 180R - 100R = 80R
C completes the remaining work in 8 days
Efficiency of C = \(\frac{80R}{8}\) = 10R
Time taken by all of them together = \(\frac{180R}{15R}\) =12 days