Question

2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the same work in 8 days . In how many days can 2 men and 1 boy do the work?

Answer 1

Answer:

12.5 day

Step-by-step explanation:

2 men and 3 boys can do a piece of work in 10 days.  

Thus, 20 men and 30 boys can do a piece of work in 1 day......(i)

       3 men and 2 boys can do the same work in 8 days.

      Thus, 24 men and 16 boys can do the same work in 1 day....(ii)

Equating (i) and (ii) we get -  

20 men + 30 boys = 24 men + 16 boys

           4 men = 14 boys

        2 men = 7 boys

  Substituting this in equation (i) we get

       10 boys can do a piece of work in 10 days.

But we need to find out in how many days 2 men and 1 boy can do the work, which is equivalent to 8 boys.

          8 boys can do the same work in (10*10/8) = 12.5 day