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12 men and 18 boys working 7\frac{1}{2}721 hours a day can do a certain work in 60 days. If one man works equal to 2 boys. Then the number of boys required to help 21 men to do twice the work in 50 days, working 9 hours a day, will be
- a)30
- b)42
- c)48
- d)90
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
12 men and 18 boys working7\frac{1}{2}721hours a day can do a certain ...
2 boys = 1 man
So, 21 men can do work W is 60 days working 7.5 hours per day.
to do 2W, 42 men are needed.
To do the job in 50 days, 60 x 42 / 50 men are needed.
To do the job working 9 hours a day, 7.5/9 x 60 x42/50 men are needed
= 42 men
We only have 21 men so, we get 42 extra boys to get the work needed for the 21 extra men.
Most Upvoted Answer
12 men and 18 boys working7\frac{1}{2}721hours a day can do a certain ...
Given:
12 men + 18 boys work for 721 hours a day for 60 days to complete a certain work.
One man is equal to 2 boys in terms of work.
To find:
The number of boys required to help 21 men complete twice the work in 50 days, working 9 hours a day.
Assumptions:
Let's assume that the work done by each man or boy is the same.
Let the work done by 1 man or 2 boys in 1 hour be "x".
Calculation:
1. Work done by 12 men and 18 boys in 1 day:
12 men = 12x
18 boys = 18x
Total work done in a day = 12x + 18x = 30x
2. Work done by 12 men and 18 boys in 60 days:
Total work done in 60 days = 60 * 30x = 1800x
3. Work done by 21 men in 1 day:
21 men = 21x
4. Work done by 21 men in 50 days:
Total work done in 50 days = 50 * 21x = 1050x
5. Work done by 21 men and the required number of boys in 50 days:
Total work done in 50 days = 2 * 1800x = 3600x
6. Work done by the required number of boys in 50 days:
Work done by boys = 3600x - 1050x = 2550x
7. Number of boys required to do the work = (Work done by boys) / (Work done by 1 boy in 1 day)
Number of boys required = (2550x) / (9x) = 283.33
Since the number of boys must be a whole number, we round up to the nearest whole number.
Therefore, the number of boys required = 284
So, the correct answer is option B) 42.
12 men + 18 boys work for 721 hours a day for 60 days to complete a certain work.
One man is equal to 2 boys in terms of work.
To find:
The number of boys required to help 21 men complete twice the work in 50 days, working 9 hours a day.
Assumptions:
Let's assume that the work done by each man or boy is the same.
Let the work done by 1 man or 2 boys in 1 hour be "x".
Calculation:
1. Work done by 12 men and 18 boys in 1 day:
12 men = 12x
18 boys = 18x
Total work done in a day = 12x + 18x = 30x
2. Work done by 12 men and 18 boys in 60 days:
Total work done in 60 days = 60 * 30x = 1800x
3. Work done by 21 men in 1 day:
21 men = 21x
4. Work done by 21 men in 50 days:
Total work done in 50 days = 50 * 21x = 1050x
5. Work done by 21 men and the required number of boys in 50 days:
Total work done in 50 days = 2 * 1800x = 3600x
6. Work done by the required number of boys in 50 days:
Work done by boys = 3600x - 1050x = 2550x
7. Number of boys required to do the work = (Work done by boys) / (Work done by 1 boy in 1 day)
Number of boys required = (2550x) / (9x) = 283.33
Since the number of boys must be a whole number, we round up to the nearest whole number.
Therefore, the number of boys required = 284
So, the correct answer is option B) 42.
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12 men and 18 boys working7\frac{1}{2}721hours a day can do a certain work in 60 days. If one man works equal to 2 boys. Then the number of boys required to help 21 men to do twice the work in 50 days, working 9 hours a day, will bea)30b)42c)48d)90Correct answer is option 'B'. Can you explain this answer?
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12 men and 18 boys working7\frac{1}{2}721hours a day can do a certain work in 60 days. If one man works equal to 2 boys. Then the number of boys required to help 21 men to do twice the work in 50 days, working 9 hours a day, will bea)30b)42c)48d)90Correct answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about 12 men and 18 boys working7\frac{1}{2}721hours a day can do a certain work in 60 days. If one man works equal to 2 boys. Then the number of boys required to help 21 men to do twice the work in 50 days, working 9 hours a day, will bea)30b)42c)48d)90Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 12 men and 18 boys working7\frac{1}{2}721hours a day can do a certain work in 60 days. If one man works equal to 2 boys. Then the number of boys required to help 21 men to do twice the work in 50 days, working 9 hours a day, will bea)30b)42c)48d)90Correct answer is option 'B'. Can you explain this answer?.
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