Question
If 16 men can construct 800 tables in 9 days how long will it take 15 men to construct 1000 tables if they work at the same rate
Answers
Steve
15/16 as many men, so 16/15 as much time
5/4 as many tables, so 5/4 as much time
9 * 16/15 * 5/4 = 12 days
or, using the man-days of labor,
there are 16*9/800 man-days/table
1000 tables * 144/800 m-d/table = (1000*144/800 m-d)/(15 men) = 12 days
5/4 as many tables, so 5/4 as much time
9 * 16/15 * 5/4 = 12 days
or, using the man-days of labor,
there are 16*9/800 man-days/table
1000 tables * 144/800 m-d/table = (1000*144/800 m-d)/(15 men) = 12 days