Question:Ram can do a piece of work in 8 days which Shyam can finish in 12 days. If they work at it on alternate days with Ram beginning, in how many days, the work will be finished ?
A `9 1/3`
B `9 1/2`
C `9 1/24`
D `10 1/3`
+ Explanationsolution:
(Ram + Shyam)'s 2 days work `= (1/8 + 1/12)`
`= 5/24`.
Their 8 day's work `= (5/24 xx 4)`
`= 5/6`.
Their 9 day's work `=(5/6 + 1/8)`
`= 23/24`.
Remaining work `= (1 - 23/24)`
`= 1/24`.
Now it is Shyam's turn.
`1/12` work is done by him in 1 day.
`1/24` work is done by him in `(12 xx 1/24)`
`= 1/2` day.
`:.` Total time taken `= 9 1/2` days.
