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Working 8 hrs a day, 12 men complete a piece of work in 12 days. The same work is completed by 18 women in 12 days working 8 hrs a day and 30 boys accomplish the same work in 12 days working 8 hrs a day. How many men must be employed with 9 women and 5 boys to do 2(½) times as much work in 30 days, with the working day being 6 hours long?
- a)6 men
- b)8 men
- c)5 men
- d)10 men
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Working 8 hrs a day, 12 men complete a piece of work in 12 days. The ...
12 men or 18 women or 30 boys can do a work in 12 days working 8 hours a day
⇒ 12 × 12 × 8 man hours = 18 × 12 × 8 woman hours = 30 × 12 × 8 boy hours
⇒ 12 man hours = 18 woman hours = 30 boy hours
⇒ 2 man hours = 3 woman hours = 5 boy hours
To do the piece of work in 5/2 times the earlier one,
Man hours required = 12 × 12 × 8 × 5/2
If N men alone complete this work in 30 days working 6 hours a day,
N × 30 × 6 = 12 × 12 × 8 × 5/2
⇒ N = 16
It means, 16 men can complete the new work in 30 days working 6 hours a day
Now,
1 woman = 2/3 man, 1 boy = 2/5 man
9 women and 5 boys = 9 × (⅔) + 5 × (⅖) = 8 men
Additional men required = 16 − 8 = 8
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Working 8 hrs a day, 12 men complete a piece of work in 12 days. The ...
Given information:
- 12 men complete a piece of work in 12 days, working 8 hrs a day.
- 18 women complete the same work in 12 days, working 8 hrs a day.
- 30 boys complete the same work in 12 days, working 8 hrs a day.
- The work needs to be done in 30 days, with a 6-hour working day.
- We need to determine how many men, along with 9 women and 5 boys, should be employed to do 2½ times the initial work.
Let's calculate the efficiency of each worker:
- 12 men complete the work in 12 days, so their combined efficiency is 1 work done per day.
- 18 women complete the work in 12 days, so their combined efficiency is 1 work done per day.
- 30 boys complete the work in 12 days, so their combined efficiency is 1 work done per day.
Let's calculate the total work to be done:
- Since the work needs to be done in 30 days, with a 6-hour working day, the total work required is 30 * 6 = 180 hours.
Calculating the efficiency of each worker per hour:
- 12 men work 8 hours a day, so their efficiency per hour is 1/8.
- 18 women work 8 hours a day, so their efficiency per hour is 1/8.
- 30 boys work 8 hours a day, so their efficiency per hour is 1/8.
Calculating the number of workers required:
- Let the number of men required be x.
- The total efficiency of x men, 9 women, and 5 boys working for 30 days, 6 hours a day should be 2½ times the initial work.
- The total efficiency of all the workers is given by (x * 1/8) + (9 * 1/8) + (5 * 1/8).
- Setting up the equation: [(x * 1/8) + (9 * 1/8) + (5 * 1/8)] * 30 * 6 = 2.5 * 1.
- Simplifying the equation: (x + 9 + 5) * 30 = 2.5 * 8.
- Simplifying further: (x + 14) * 30 = 20.
- Dividing by 30: x + 14 = 2/3.
- Subtracting 14 from both sides: x = 2/3 - 14 = - 40/3.
- Since we cannot have a negative number of workers, we take the absolute value of x, which is 40/3.
- Rounding up to the nearest whole number, we get x = 14.
Therefore, 14 men, along with 9 women and 5 boys, should be employed to do 2½ times the initial work in 30 days, with a 6-hour working day.
- 12 men complete a piece of work in 12 days, working 8 hrs a day.
- 18 women complete the same work in 12 days, working 8 hrs a day.
- 30 boys complete the same work in 12 days, working 8 hrs a day.
- The work needs to be done in 30 days, with a 6-hour working day.
- We need to determine how many men, along with 9 women and 5 boys, should be employed to do 2½ times the initial work.
Let's calculate the efficiency of each worker:
- 12 men complete the work in 12 days, so their combined efficiency is 1 work done per day.
- 18 women complete the work in 12 days, so their combined efficiency is 1 work done per day.
- 30 boys complete the work in 12 days, so their combined efficiency is 1 work done per day.
Let's calculate the total work to be done:
- Since the work needs to be done in 30 days, with a 6-hour working day, the total work required is 30 * 6 = 180 hours.
Calculating the efficiency of each worker per hour:
- 12 men work 8 hours a day, so their efficiency per hour is 1/8.
- 18 women work 8 hours a day, so their efficiency per hour is 1/8.
- 30 boys work 8 hours a day, so their efficiency per hour is 1/8.
Calculating the number of workers required:
- Let the number of men required be x.
- The total efficiency of x men, 9 women, and 5 boys working for 30 days, 6 hours a day should be 2½ times the initial work.
- The total efficiency of all the workers is given by (x * 1/8) + (9 * 1/8) + (5 * 1/8).
- Setting up the equation: [(x * 1/8) + (9 * 1/8) + (5 * 1/8)] * 30 * 6 = 2.5 * 1.
- Simplifying the equation: (x + 9 + 5) * 30 = 2.5 * 8.
- Simplifying further: (x + 14) * 30 = 20.
- Dividing by 30: x + 14 = 2/3.
- Subtracting 14 from both sides: x = 2/3 - 14 = - 40/3.
- Since we cannot have a negative number of workers, we take the absolute value of x, which is 40/3.
- Rounding up to the nearest whole number, we get x = 14.
Therefore, 14 men, along with 9 women and 5 boys, should be employed to do 2½ times the initial work in 30 days, with a 6-hour working day.
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Working 8 hrs a day, 12 men complete a piece of work in 12 days. The same work is completed by 18 women in 12 days working 8 hrs a day and 30 boys accomplish the same work in 12 days working 8 hrs a day. How many men must be employed with 9 women and 5 boys to do 2(½) times as much work in 30 days, with the working day being 6 hours long?a)6 menb)8 menc)5 mend)10 menCorrect answer is option 'B'. Can you explain this answer?
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Working 8 hrs a day, 12 men complete a piece of work in 12 days. The same work is completed by 18 women in 12 days working 8 hrs a day and 30 boys accomplish the same work in 12 days working 8 hrs a day. How many men must be employed with 9 women and 5 boys to do 2(½) times as much work in 30 days, with the working day being 6 hours long?a)6 menb)8 menc)5 mend)10 menCorrect answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Working 8 hrs a day, 12 men complete a piece of work in 12 days. The same work is completed by 18 women in 12 days working 8 hrs a day and 30 boys accomplish the same work in 12 days working 8 hrs a day. How many men must be employed with 9 women and 5 boys to do 2(½) times as much work in 30 days, with the working day being 6 hours long?a)6 menb)8 menc)5 mend)10 menCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Working 8 hrs a day, 12 men complete a piece of work in 12 days. The same work is completed by 18 women in 12 days working 8 hrs a day and 30 boys accomplish the same work in 12 days working 8 hrs a day. How many men must be employed with 9 women and 5 boys to do 2(½) times as much work in 30 days, with the working day being 6 hours long?a)6 menb)8 menc)5 mend)10 menCorrect answer is option 'B'. Can you explain this answer?.
Working 8 hrs a day, 12 men complete a piece of work in 12 days. The same work is completed by 18 women in 12 days working 8 hrs a day and 30 boys accomplish the same work in 12 days working 8 hrs a day. How many men must be employed with 9 women and 5 boys to do 2(½) times as much work in 30 days, with the working day being 6 hours long?a)6 menb)8 menc)5 mend)10 menCorrect answer is option 'B'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Working 8 hrs a day, 12 men complete a piece of work in 12 days. The same work is completed by 18 women in 12 days working 8 hrs a day and 30 boys accomplish the same work in 12 days working 8 hrs a day. How many men must be employed with 9 women and 5 boys to do 2(½) times as much work in 30 days, with the working day being 6 hours long?a)6 menb)8 menc)5 mend)10 menCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Working 8 hrs a day, 12 men complete a piece of work in 12 days. The same work is completed by 18 women in 12 days working 8 hrs a day and 30 boys accomplish the same work in 12 days working 8 hrs a day. How many men must be employed with 9 women and 5 boys to do 2(½) times as much work in 30 days, with the working day being 6 hours long?a)6 menb)8 menc)5 mend)10 menCorrect answer is option 'B'. Can you explain this answer?.
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