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The daily work of 4 men is equal to that of 6 women or that of 8 youngsters. By employing 14 men, 15 women and 10 youngsters a certain work can be finished in 30 days. If it required to finish it in 10 days and as an additional labour, only men are available, how many of them will be required ?
- a)57
- b)58
- c)60
- d)62
Correct answer is option 'B'. Can you explain this answer?
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Understanding the Problem
- The given information tells us that the work done by 4 men is equal to that of 6 women or 8 youngsters.
- It also states that with 14 men, 15 women, and 10 youngsters, a certain work can be finished in 30 days.
- We need to determine how many men are required to finish the work in 10 days.
Solving the Problem
1. Finding the Efficiency Ratios
- Let's first calculate the efficiency ratios of men, women, and youngsters based on the given information.
- The efficiency ratio of men to women is 6:4, and the ratio of men to youngsters is 8:4.
- Simplifying these ratios, we get the efficiency ratio of men to women as 3:2 and the ratio of men to youngsters as 2:1.
2. Calculating Total Work
- Since 14 men, 15 women, and 10 youngsters can finish the work in 30 days, we can calculate the total work required.
- Let's assume the total work is represented by 1 unit.
- Therefore, the work done by 1 man in 1 day is 1/(14*30), by 1 woman is 1/(15*30), and by 1 youngster is 1/(10*30).
3. Determining the Required Men
- To finish the work in 10 days, we need to calculate how many men are required.
- Since only men are available for additional labor, we consider the work done by men only.
- Given that the total work is 1 unit, and it needs to be completed in 10 days, the work done by x men in 10 days should be equal to 1 unit.
- Setting up the equation, we get x*(1/(14*30))*10 = 1.
- Solving this equation, we find that x = 58.
Therefore, the number of men required to finish the work in 10 days is 58. Hence, option B is the correct answer.
- The given information tells us that the work done by 4 men is equal to that of 6 women or 8 youngsters.
- It also states that with 14 men, 15 women, and 10 youngsters, a certain work can be finished in 30 days.
- We need to determine how many men are required to finish the work in 10 days.
Solving the Problem
1. Finding the Efficiency Ratios
- Let's first calculate the efficiency ratios of men, women, and youngsters based on the given information.
- The efficiency ratio of men to women is 6:4, and the ratio of men to youngsters is 8:4.
- Simplifying these ratios, we get the efficiency ratio of men to women as 3:2 and the ratio of men to youngsters as 2:1.
2. Calculating Total Work
- Since 14 men, 15 women, and 10 youngsters can finish the work in 30 days, we can calculate the total work required.
- Let's assume the total work is represented by 1 unit.
- Therefore, the work done by 1 man in 1 day is 1/(14*30), by 1 woman is 1/(15*30), and by 1 youngster is 1/(10*30).
3. Determining the Required Men
- To finish the work in 10 days, we need to calculate how many men are required.
- Since only men are available for additional labor, we consider the work done by men only.
- Given that the total work is 1 unit, and it needs to be completed in 10 days, the work done by x men in 10 days should be equal to 1 unit.
- Setting up the equation, we get x*(1/(14*30))*10 = 1.
- Solving this equation, we find that x = 58.
Therefore, the number of men required to finish the work in 10 days is 58. Hence, option B is the correct answer.
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The daily work of 4 men is equal to that of 6 women or that of 8 youngsters. By employing 14 men, 15 women and 10 youngsters a certain work can be finished in 30 days. If it required to finish it in 10 days and as an additional labour, only men are available, how many of them will be required ?a)57b)58c)60d)62Correct answer is option 'B'. Can you explain this answer?
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The daily work of 4 men is equal to that of 6 women or that of 8 youngsters. By employing 14 men, 15 women and 10 youngsters a certain work can be finished in 30 days. If it required to finish it in 10 days and as an additional labour, only men are available, how many of them will be required ?a)57b)58c)60d)62Correct answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about The daily work of 4 men is equal to that of 6 women or that of 8 youngsters. By employing 14 men, 15 women and 10 youngsters a certain work can be finished in 30 days. If it required to finish it in 10 days and as an additional labour, only men are available, how many of them will be required ?a)57b)58c)60d)62Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The daily work of 4 men is equal to that of 6 women or that of 8 youngsters. By employing 14 men, 15 women and 10 youngsters a certain work can be finished in 30 days. If it required to finish it in 10 days and as an additional labour, only men are available, how many of them will be required ?a)57b)58c)60d)62Correct answer is option 'B'. Can you explain this answer?.
The daily work of 4 men is equal to that of 6 women or that of 8 youngsters. By employing 14 men, 15 women and 10 youngsters a certain work can be finished in 30 days. If it required to finish it in 10 days and as an additional labour, only men are available, how many of them will be required ?a)57b)58c)60d)62Correct answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about The daily work of 4 men is equal to that of 6 women or that of 8 youngsters. By employing 14 men, 15 women and 10 youngsters a certain work can be finished in 30 days. If it required to finish it in 10 days and as an additional labour, only men are available, how many of them will be required ?a)57b)58c)60d)62Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The daily work of 4 men is equal to that of 6 women or that of 8 youngsters. By employing 14 men, 15 women and 10 youngsters a certain work can be finished in 30 days. If it required to finish it in 10 days and as an additional labour, only men are available, how many of them will be required ?a)57b)58c)60d)62Correct answer is option 'B'. Can you explain this answer?.
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