SOLUTION: A wall is built by 17 men in 24 days. In how many days can 18 men do the work if hours per day are reduced in the ratio 5:4?

Question 764170: A wall is built by 17 men in 24 days. In how many days can 18 men do the work if hours per day are reduced in the ratio 5:4?
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
EDIT: previous version had mishandled ratio of old to new hours.

wall is built by 17 men in 24 days.
If just 1 man, then need 17 times more days.
1 wall built per days for just one man working.
ONE MAN RATE: jobs per day.

If hours per workday are unchanged, then 18 men would use the rate of jobs per day.
That is jobs per day.

Shortening the hour per workday by factor of would mean more time, as days, needed to do the job:
Rate for the 18 men then needs to be jobs per day.
=
.
days for one job.

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Just as easy or easier to skip the 0.05514 and just taken the rate as , and then did the computation to days per job.
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