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?

Shiva:

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.**Let me know if this helps!

Thanks

George T.

## Comments