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If ten men can do a job in ten days, wha...

If ten men can do a job in ten days, what fraction of the job can be done by one man in one day?

A

`(1)/(20)`

B

`(1)/(10)`

C

`(1)/(2)`

D

`(1)/(100)`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to determine what fraction of the job can be completed by one man in one day, given that ten men can complete the job in ten days. ### Step-by-Step Solution: 1. **Understand the total work done by ten men in ten days**: - If 10 men can complete the job in 10 days, we can calculate the total work in terms of "man-days". - Total work = Number of men × Number of days = 10 men × 10 days = 100 man-days. 2. **Calculate the work done by one man in one day**: - Since the total work is 100 man-days, we need to find out how much work one man can do in one day. - Work done by one man in one day = Total work / Number of men = 100 man-days / 10 men = 10 days. 3. **Determine the fraction of the job done by one man in one day**: - The work done by one man in one day is 1/10th of the total work. - Therefore, the fraction of the job that one man can complete in one day = 1/100. 4. **Final Answer**: - Thus, the fraction of the job that can be done by one man in one day is **1/100**.
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