Question #bc2c7

3 Answers
NJ
Feb 26, 2018

30 days

Explanation:

Total work to be done is:
#(30# men#)##(35# days#) = 1050# man-days

After 10 days of work with 30 men:
#30# men #(10# days#) = 300# man-days are complete

This leaves #1050 - 300 = 750# man-days left to finish

Now with only 25 men:
#750# man-days#/25# men# = 30# days

So it will take the remaining workers 30 days to finish the job.

lifeng g.
Feb 26, 2018

The remaining men will finish the job in 30 days.

Explanation:

The whole job can be unit 1, which can be done by 30 men in 35 days. So a man one day can finish #1/(35*30)# job.
After 10 days, the remaining job is #1-10/35 = 5/7#.
So every day the remaining #30-5=25# men can finish the job #25*1/(35*30) = 1/42#; they still need #5/7/(1/42) = 30# days to finish the job.

iceman
Feb 26, 2018

30 days

Explanation:

#30*35=1050# => man days required to do the job

#30*10=300# => man days completed in 10 days

#1050-300=750# => man days of work remaining

25 men to do 750 man days:

#750/25 = 30# => days for 25 men to complete the job

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