Select the correct answerIf 8 men working 9 h a day can reap a field in 24 days, in how many days will 12 men reap the field, working 6 h a day?Options24 days28 days16 days20 days
Question
Select the correct answerIf 8 men working 9 h a day can reap a field in 24 days, in how many days will 12 men reap the field, working 6 h a day?Options24 days28 days16 days20 days
Solution
To solve this problem, we need to understand that the time taken to reap a field is inversely proportional to the number of men and the hours they work per day.
First, let's calculate the total man-hours required to reap the field in the first scenario:
8 men * 9 hours/day * 24 days = 1728 man-hours
Now, let's calculate how many days it would take for 12 men working 6 hours a day to reap the field:
1728 man-hours / (12 men * 6 hours/day) = 24 days
So, the correct answer is 24 days.
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