SOLUTION: Ques-20 men can do a job in 23 days.if all the 20 men start working together and one man joins additionally then find the time taken to complete the work?

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Question 900688: Ques-20 men can do a job in 23 days.if all the 20 men start working together and one man joins additionally then find the time taken to complete the work?
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
Let the one-man work rate be r jobs per day.

Your description for the question is imprecise; I will expect you mean that all 20
of the group PLUS the one extra man start at the same time.

The comparison is for 1 job.
RT=J for rate time job.
Let t be the time for the 21 men to do the job.
20%2Ar%2A23=1=21%2Ar%2At
21rt=20%2Ar%2A23
t=%2820%2Ar%2A23%29%2F%2821%2Ar%29
t=20%2A23%2F21
highlight%28t=21.9%29 days