If it takes 18 days for 12 people to manufacture a machine, how many days will it take 9 people?
Question
If it takes 18 days for 12 people to manufacture a machine, how many days will it take 9 people?
Solution
To solve this problem, we first need to find out how many man-days it takes to manufacture a machine.
Step 1: Calculate man-days Man-days is a measure of how much work is done by a certain number of people in a certain number of days. In this case, we multiply the number of people by the number of days to get the total man-days. So, 12 people * 18 days = 216 man-days
Step 2: Calculate how many days it will take 9 people Now we know it takes 216 man-days to manufacture a machine. If we have 9 people, we divide the total man-days by the number of people to find out how many days it will take. So, 216 man-days / 9 people = 24 days
Therefore, it will take 9 people 24 days to manufacture a machine.
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