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

Question

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?

Answer 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.

Answer 2

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.