1.

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?

Answer»

` 5 8/8 days`
` 4 2/3 days`
6 days
3 days

Solution :Work was 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
`therefoer` Remaining work `= 1 - 10/24=14/24`
One day work of B and C toegther
`= 1/12 + 1/15 = 9/60`
So, the number of days required by B and C to finish
work
`=(14//24)/(9//60) = 14/24 xx 60/9 = 35/9`
`therefore` Total days to complete the work
`=2 + 35/9 = 53/9 = 5 8/9` days


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