A, B and C can do a piece of work individually in 8, 12 and 15 days, respectively. A and B start working but A quits after working for 2 days. After this, C joins B till the completion of work. In how many days will the work be completed?

Explanation:

Work done by A and B in 1 day

=1\8+1\12=5\24

2 day’s work of A and B = 10\24

After 2 day’s A left the work

Remaining work = 1−10\24=14\24

One day work of B and C together

= 1\12+1\15=9\60

So, the number of days required by B and C to finish work

= 14/249/60=14\24×609=35\9

Total days to complete the work

= 2+35\9=53\9=5 8\9 days.