24 boys will complete a piece of work in 18 days. 2 days after they started the work, 8 more boys joined with them. In how many days will all of them together finish the leftover work?
Since it takes 24 boys 18 days to complete all of the work, the total work to be accomplished can be represented as 24 * 18 or 432 person-days.
In the first 2 days, 24 boys will have accomplished 24*2 or 48 person-days of this total amount.
Subtracting these two values gives 384 person-days as the amount of work remaining after two days.
There are 32 boys available to accomplish the remaining 384 person-days worth of work; Dividing the total remaining work of 384 person-days by 32 persons results in 12 days to accomplish the remaining work.
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