forty men can complete the work in 25 days.

Question

forty men can complete the work in 25 days.All the 40 men started the work and after five days 15 men left.In how many days remaining men complete the remaining work..? I want to solve it in steps.. here the answer is 32 days.. kindly some one solve it

Answer 1

When 1 man works for 1 day, we call that 1 man-day of work.

 

When 40 men complete a job in 25 days, it takes them 40*25=1000 man-days.

 

If the 40 men start the job and work for 5 days, they have completed 40*5=200 man-days of work.  There is still 100-200=800 man-days of work remaining for the remaining 25 men.

 

For 25 men to complete the rest of the job, it will take them 25*x=800 man-days.  x=800/25=32 more man-days.