.
One way to solve it :
Making 10 toys requires 5 men * 6 days * 6 hours = 180 men-hours, according to the first statement.
Hence, making 1 toy requires 180/10 = 18 hours.
Then making 16 toys will take 16*18 = 288 hours.
12 men, working 8 hours per day, will do it in = 3 days.
Answer. In 3 days.
Another way to solve the problem is THIS :
Based on the first statement, rate of work of 1 man is = = of the toy per hour.
If "x" is the number of days under the question, then the rate of work of one man is = of the toy per hour.
Rate of work is assumed to be the same in both cases; it gives you an equality (proportion)
= .
From the proportion
1*96x = 18*16, or x = = 3.
You get the same answer : 3 days are needed.
You can use either of the two ways/methods to solve the problem.
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See the lesson
- Rate of work problems
in this site, where you can find many other similar solved problems.