Question 1042251: If 9 Men built 8 cabinets in 12 days, How many cabinets can 6 men build in 4 days? Found 2 solutions by ikleyn, josmiceli:Answer by ikleyn(52810) (Show Source): You can put this solution on YOUR website! .
If 9 Men built 8 cabinets in 12 days, How many cabinets can 6 men build in 4 days?
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= .
This proportion is a key equation.
Its left side is the rate of work of one man per one day.
The right side is the same for the other case.
Solve for x, the number of cabinets under the question, and get the answer.
For many other similar solved problems see the lesson
- Rate of work problems
in this site.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website! 9 men build 8 cabinets in 12 days
1/3 as many men will take 3 times as long, so
3 men build 8 cabinets in 36 days
twice as many men take half as long, so
6 men build 8 cabinets in 18 days
In 1/9 of that time, 6 men build 1/9 as many, so
6 men build 8/9 cabinets in 2 days
In twice that time, 6 men build twice as many cabinets
6 men build 16/9 cabinets in 4 days
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Hope I got it!