SOLUTION: 20 men can reap a field in 20 day.when should 5 men leave the work,if the whole field is to be reapedgin 24 day after they leave the work.

Question 1000550: 20 men can reap a field in 20 day.when should 5 men leave the work,if the whole field is to be reapedgin 24 day after they leave the work.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
20 men can reap a field in 20 days.
Find how many man-days to do the job.
20 * 20 = 400 man-days
:
when should 5 men leave the work, if the whole field is to be reaped in 24 days after they leave the work.
let d = no. of days until the remaining 15 men finish in 24 days
5d + 15(d+24) = 400
5d + 15d + 360 = 400
20d = 400 - 360
20d = 400 - 360
20d = 40
d = 40/20
d = 2 days
:
The 5 men can leave in 2 days
:
:
See if that checks out
5 * 2 = 10 man-days
15(2 + 24) = 390 man-days
---------------------
total: 400 man-days
RELATED QUESTIONS
if 8 men working 9 h a day can reap a field in 24 day in how many day will 12 men reap... (answered by josgarithmetic)

If 15 men , woking 9 hours a day, can reap a field in 16 days , in how many days will 18... (answered by ankor@dixie-net.com)

Q1. if 2 men or 3 women or 6boys can do a piece o work in 70 days,in what time would 2... (answered by ankor@dixie-net.com,vvnrichards)

if 6 men can do a piece of work in 20 day who many extra men should be engaged to do... (answered by macston)

It will take 24 men working 9 hours a day each to build a house in 45 days. Given that... (answered by lwsshak3)

1. 20 men can do a piece of work in 30 days.After working for how many days should 5 men... (answered by josgarithmetic)

Thirty men take 20 days to complete a job working 9 hours a day. How many hours a day... (answered by ankor@dixie-net.com)

20 men can finish 1/6 of a piece of work in 5 days.When should 5 men leave the work so... (answered by TimothyLamb)

10 men working 5 hrs per day can complete a pice of work in 12 days. How many men will be (answered by ankor@dixie-net.com)