2

# 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 f

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?

### 2 Answers by Expert Tutors

Kirill Z. | Physics, math tutor with great knowledge and teaching skillsPhysics, math tutor with great knowledge...
4.9 4.9 (174 lesson ratings) (174)
1
After 2 days boys have 1/9 of a job done, so 8/9 was left. Their speed increased by 1/3, becoming 4/3 of the initial speed of work. Initial group would have finished the job in 16 days, larger group would finish in 3/4 of the time, that is 12 days.
George T. | George T.--"It's All About Math!"George T.--"It's All About Math!"
0
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.