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If 10 men can reap 40 hectares of a field in 5 days then how many hectares of field can 30 men reap in 10 days?
- a)180
- b)200
- c)240
- d)280
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If 10 men can reap 40 hectares of a field in 5 days then how many hect...
Answer – c) 240 Explanation : 10*5 = 40…….(1)
30*10 = H…….(2)
Divide both equations to get H We get h = 240
30*10 = H…….(2)
Divide both equations to get H We get h = 240
Most Upvoted Answer
If 10 men can reap 40 hectares of a field in 5 days then how many hect...
Given Data:
- Number of men: 10
- Area of field reaped: 40 hectares
- Time taken: 5 days
To find:
- Area of field that can be reaped by 30 men in 10 days
Assumptions:
- The productivity rate of each man remains constant.
- The size of the field is the same.
Using the concept of man-days, we can calculate the productivity of the 10 men:
Productivity = (Area of field reaped) / (Number of men * Time taken)
Productivity = 40 hectares / (10 men * 5 days)
Productivity = 0.8 hectares/man-day
Now, let's calculate the total man-days required to reap the field for 30 men in 10 days:
Total man-days = (Number of men * Time taken)
Total man-days = 30 men * 10 days
Total man-days = 300 man-days
Using the productivity rate, we can find the area of field reaped by 30 men in 10 days:
Area of field reaped = Total man-days * Productivity
Area of field reaped = 300 man-days * 0.8 hectares/man-day
Area of field reaped = 240 hectares
Therefore, 30 men can reap 240 hectares of the field in 10 days.
Hence, the correct answer is option C) 240.
- Number of men: 10
- Area of field reaped: 40 hectares
- Time taken: 5 days
To find:
- Area of field that can be reaped by 30 men in 10 days
Assumptions:
- The productivity rate of each man remains constant.
- The size of the field is the same.
Using the concept of man-days, we can calculate the productivity of the 10 men:
Productivity = (Area of field reaped) / (Number of men * Time taken)
Productivity = 40 hectares / (10 men * 5 days)
Productivity = 0.8 hectares/man-day
Now, let's calculate the total man-days required to reap the field for 30 men in 10 days:
Total man-days = (Number of men * Time taken)
Total man-days = 30 men * 10 days
Total man-days = 300 man-days
Using the productivity rate, we can find the area of field reaped by 30 men in 10 days:
Area of field reaped = Total man-days * Productivity
Area of field reaped = 300 man-days * 0.8 hectares/man-day
Area of field reaped = 240 hectares
Therefore, 30 men can reap 240 hectares of the field in 10 days.
Hence, the correct answer is option C) 240.
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If 10 men can reap 40 hectares of a field in 5 days then how many hectares of field can 30 men reap in 10 days?a)180b)200c)240d)280e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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