If 5 men working 6 hours a day can reap a field in 20 days, in how many days will 15 men reap the field if they work for 8 hours a day?

Answer 1

#5# days

Instead of working with a number of men and the number of hours in a day, consider the number of 'man-hours' used.

#5# men working for #6# hours a day means: #5 xx6 = 30# man-hours a day.
The entire task of reaping the field takes: #30 xx 20 = 600# man-hours

The question involves inverse proportion because if there are more men working and they work for more hours each day, then the task will be completed in fewer days.

#15# men working for #8# hours a day means: #15 xx 8 = 120# man-hours per day
To complete the task which requires #600# man-hours:
#600 div 120 = 5 # days
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Answer 2

If 5 men working 6 hours a day can reap a field in 20 days, then the total work done by these men is 5 * 6 * 20 = 600 man-hours.

To find out how many days it will take for 15 men working 8 hours a day to reap the field, we can use the concept of man-hours.

The total man-hours required to reap the field with 15 men working 8 hours a day is 15 * 8 * x, where x is the number of days it will take.

Since the amount of work done remains the same, we can equate the two expressions:

600 = 15 * 8 * x

Simplifying the equation:

600 = 120x

Dividing both sides by 120:

5 = x

Therefore, it will take 15 men working 8 hours a day to reap the field in 5 days.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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