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If 5 men can working 6 hour a day to reap a fieldin 20 days .how many days will 15 reap the field if they work for 8 hours a day.?
Verified Answer
If 5 men can working 6 hour a day to reap a fieldin 20 days .how many ...
Answer:5 days
Explanation:
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:5x6=30 man-hours a day.
The entire task of reaping the field takes:30x20=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:15x8=120 man-hours per day
To complete the task which requires 600 man-hours:600x120=5 days
This question is part of UPSC exam. View all Class 8 courses
Most Upvoted Answer
If 5 men can working 6 hour a day to reap a fieldin 20 days .how many ...
Given Information:
- 5 men can work 6 hours a day to reap a field in 20 days.
To Find:
- How many days will 15 men take to reap the field if they work for 8 hours a day.
Solution:
Step 1: Calculate the total work done by 5 men in 20 days:
- Let's assume the total work required to reap the field is 1 unit.
- Work done by 5 men in 1 day = 1/20
- Work done by 1 man in 1 day = 1/(20*5)
- Work done by 1 man in 6 hours = 1/(20*5) * 6 = 3/(20*5)
Step 2: Calculate the total work done by 15 men in 1 day:
- Work done by 15 men in 1 day = 15 * 3/(20*5) = 9/(20*5)
Step 3: Determine the number of days required for 15 men to complete the work:
- Work done by 15 men in 1 day = 9/(20*5)
- Total work = 1 unit
- Number of days required = 1 / (9/(20*5)) = 100/9 days
Step 4: Adjust for the number of hours worked:
- Since the 15 men are working 8 hours a day, the effective work done by them in 1 day = (9/(20*5)) * (8/6) = 12/(20*5)
Final Answer:
- Therefore, 15 men working 8 hours a day will take 100/9 * (20*5)/12 = 125/3 days to reap the field.
- 5 men can work 6 hours a day to reap a field in 20 days.
To Find:
- How many days will 15 men take to reap the field if they work for 8 hours a day.
Solution:
Step 1: Calculate the total work done by 5 men in 20 days:
- Let's assume the total work required to reap the field is 1 unit.
- Work done by 5 men in 1 day = 1/20
- Work done by 1 man in 1 day = 1/(20*5)
- Work done by 1 man in 6 hours = 1/(20*5) * 6 = 3/(20*5)
Step 2: Calculate the total work done by 15 men in 1 day:
- Work done by 15 men in 1 day = 15 * 3/(20*5) = 9/(20*5)
Step 3: Determine the number of days required for 15 men to complete the work:
- Work done by 15 men in 1 day = 9/(20*5)
- Total work = 1 unit
- Number of days required = 1 / (9/(20*5)) = 100/9 days
Step 4: Adjust for the number of hours worked:
- Since the 15 men are working 8 hours a day, the effective work done by them in 1 day = (9/(20*5)) * (8/6) = 12/(20*5)
Final Answer:
- Therefore, 15 men working 8 hours a day will take 100/9 * (20*5)/12 = 125/3 days to reap the field.
Community Answer
If 5 men can working 6 hour a day to reap a fieldin 20 days .how many ...
5 days
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If 5 men can working 6 hour a day to reap a fieldin 20 days .how many days will 15 reap the field if they work for 8 hours a day.?
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If 5 men can working 6 hour a day to reap a fieldin 20 days .how many days will 15 reap the field if they work for 8 hours a day.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about If 5 men can working 6 hour a day to reap a fieldin 20 days .how many days will 15 reap the field if they work for 8 hours a day.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 5 men can working 6 hour a day to reap a fieldin 20 days .how many days will 15 reap the field if they work for 8 hours a day.?.
If 5 men can working 6 hour a day to reap a fieldin 20 days .how many days will 15 reap the field if they work for 8 hours a day.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about If 5 men can working 6 hour a day to reap a fieldin 20 days .how many days will 15 reap the field if they work for 8 hours a day.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 5 men can working 6 hour a day to reap a fieldin 20 days .how many days will 15 reap the field if they work for 8 hours a day.?.
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