High School

100 men working 8 hours a day can complete a job in 35 days. How many men should be employed to finish the job in 25 days if they work 10 hours a day?

Answer :

Final answer:

To finish the job in 25 days with 10 hours of work per day, 4 men should be employed.

Explanation:

To calculate the number of men required to finish a job in 25 days, we can use the concept of man-hours. Let's assume that the job requires 1,000 man-hours to complete.

  1. First, we find the number of man-hours required to complete the job in 35 days. Since 100 men are working 8 hours a day, the total man-hours for 35 days would be 100 x 8 x 35 = 28,000 man-hours.
  2. Next, we calculate the number of man-hours needed per day to complete the job in 25 days. This is done by dividing the total man-hours required (1,000) by 25, giving us 40 man-hours per day.
  3. Finally, we divide the number of man-hours needed per day (40) by the number of hours each man works per day (10) to find the number of men required. This gives us 40/10 = 4 men.

Therefore, to finish the job in 25 days with 10 hours of work per day, 4 men should be employed.

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