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5 men and 12 boys finish a piece of work in 4 days, 7 men and 6 boys do it in 5 days. The ratio between the efficiencies of a man and boy is?
- a)1:2
- b)2:1
- c)2:3
- d)6:5
Correct answer is option 'D'. Can you explain this answer?
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5 men and 12 boys finish a piece of work in 4 days, 7 men and 6 boys d...
Understanding the Problem
To find the ratio of efficiencies between a man and a boy, we first need to establish the equations based on the given information.
Work Done by Men and Boys
1. **First Equation (5 Men and 12 Boys)**:
- Work done in 4 days can be expressed as:
- \(5m + 12b = \frac{W}{4}\), where \(m\) is the efficiency of a man, \(b\) is the efficiency of a boy, and \(W\) is the total work.
2. **Second Equation (7 Men and 6 Boys)**:
- Work done in 5 days can be expressed as:
- \(7m + 6b = \frac{W}{5}\).
Setting Up the Equations
From the above two equations, we have:
- From the first equation:
- \(20m + 48b = W\) (by multiplying the entire equation by 4).
- From the second equation:
- \(35m + 30b = W\) (by multiplying the entire equation by 5).
Equating the Work
Now, we can set the two equations equal to each other:
- \(20m + 48b = 35m + 30b\)
Simplifying the Equation
Rearranging gives us:
- \(20m - 35m = 30b - 48b\)
- \(-15m = -18b\)
- Thus, \(15m = 18b\) or \(\frac{m}{b} = \frac{18}{15} = \frac{6}{5}\).
Conclusion
The ratio between the efficiencies of a man and a boy is:
- \(m:b = 6:5\).
Thus, the correct answer is option 'D'.
To find the ratio of efficiencies between a man and a boy, we first need to establish the equations based on the given information.
Work Done by Men and Boys
1. **First Equation (5 Men and 12 Boys)**:
- Work done in 4 days can be expressed as:
- \(5m + 12b = \frac{W}{4}\), where \(m\) is the efficiency of a man, \(b\) is the efficiency of a boy, and \(W\) is the total work.
2. **Second Equation (7 Men and 6 Boys)**:
- Work done in 5 days can be expressed as:
- \(7m + 6b = \frac{W}{5}\).
Setting Up the Equations
From the above two equations, we have:
- From the first equation:
- \(20m + 48b = W\) (by multiplying the entire equation by 4).
- From the second equation:
- \(35m + 30b = W\) (by multiplying the entire equation by 5).
Equating the Work
Now, we can set the two equations equal to each other:
- \(20m + 48b = 35m + 30b\)
Simplifying the Equation
Rearranging gives us:
- \(20m - 35m = 30b - 48b\)
- \(-15m = -18b\)
- Thus, \(15m = 18b\) or \(\frac{m}{b} = \frac{18}{15} = \frac{6}{5}\).
Conclusion
The ratio between the efficiencies of a man and a boy is:
- \(m:b = 6:5\).
Thus, the correct answer is option 'D'.
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5 men and 12 boys finish a piece of work in 4 days, 7 men and 6 boys do it in 5 days. The ratio between the efficiencies of a man and boy is?a)1:2b)2:1c)2:3d)6:5Correct answer is option 'D'. Can you explain this answer?
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5 men and 12 boys finish a piece of work in 4 days, 7 men and 6 boys do it in 5 days. The ratio between the efficiencies of a man and boy is?a)1:2b)2:1c)2:3d)6:5Correct answer is option 'D'. Can you explain this answer? for Interview Preparation 2024 is part of Interview Preparation preparation. The Question and answers have been prepared according to the Interview Preparation exam syllabus. Information about 5 men and 12 boys finish a piece of work in 4 days, 7 men and 6 boys do it in 5 days. The ratio between the efficiencies of a man and boy is?a)1:2b)2:1c)2:3d)6:5Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Interview Preparation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 5 men and 12 boys finish a piece of work in 4 days, 7 men and 6 boys do it in 5 days. The ratio between the efficiencies of a man and boy is?a)1:2b)2:1c)2:3d)6:5Correct answer is option 'D'. Can you explain this answer?.
5 men and 12 boys finish a piece of work in 4 days, 7 men and 6 boys do it in 5 days. The ratio between the efficiencies of a man and boy is?a)1:2b)2:1c)2:3d)6:5Correct answer is option 'D'. Can you explain this answer? for Interview Preparation 2024 is part of Interview Preparation preparation. The Question and answers have been prepared according to the Interview Preparation exam syllabus. Information about 5 men and 12 boys finish a piece of work in 4 days, 7 men and 6 boys do it in 5 days. The ratio between the efficiencies of a man and boy is?a)1:2b)2:1c)2:3d)6:5Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Interview Preparation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 5 men and 12 boys finish a piece of work in 4 days, 7 men and 6 boys do it in 5 days. The ratio between the efficiencies of a man and boy is?a)1:2b)2:1c)2:3d)6:5Correct answer is option 'D'. Can you explain this answer?.
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