Question 765043
Twelve men can finish a job in 16 days.
 Five men were working at the start, after 8 days 3 more men were added.
 How many days will it take to finish the job?
:
Find the number of man-days required to do the job.
12 * 16 = 192 man-days
:
Let t = days worked after 8 days to complete the job
5(t+8) + 3t = 192
5t + 40 + 3t = 192
8t = 192 - 40
8t - 152
t = 152/8
t = 19 more days required to do the job
:
:
Check this: 5 men worked 19 + 8 = 27 days, 3 worked 19 days
5*27 + 3*19 = 192