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If 14 men working 8 hours a day, can reap a field in 18 days, in how many days will 9 men reap the field working 7 hours a day?

Question

If 14 men working 8 hours a day, can reap a field in 18 days, in how many days will 9 men reap the field working 7 hours a day?

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Solution

First, we need to find out the total man-hours required to reap the field.

We know that 14 men working 8 hours a day can reap the field in 18 days. So, the total man-hours required is 14 men * 8 hours/day * 18 days = 2016 man-hours.

Next, we need to find out how many man-hours 9 men working 7 hours a day can contribute. This is 9 men * 7 hours/day = 63 man-hours per day.

Finally, we divide the total man-hours required by the man-hours per day to find out how many days it will take for 9 men to reap the field.

So, 2016 man-hours / 63 man-hours/day = 32 days.

Therefore, 9 men working 7 hours a day will reap the field in 32 days.

This problem has been solved

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