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If 5 men can do a piece of work in 10 days and 12 women can do the same work in 15 days, the number of days required to complete the work by 5 men and 6 women is
- a)7.5 days
- b)8 days
- c)9.5 days
- d)12 days
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
If 5 men can do a piece of work in 10 days and 12 women can do the sam...
Suppose the efficiencies of a man and a woman are M and W;
∴ 5M × 10 = 12W × 15
⇒ 5M = 18W
∴ 5M × 10 = 12W × 15
⇒ 5M = 18W
Let the number of days required to complete the work by 5 men and 6 women is x;
∴ (5M + 6W) × x = 12W × 15
Putting 5M = 18W;
⇒ (18W + 6W) × x = 12W × 15
⇒ 24x = 180
⇒ x = 7.5
∴ (5M + 6W) × x = 12W × 15
Putting 5M = 18W;
⇒ (18W + 6W) × x = 12W × 15
⇒ 24x = 180
⇒ x = 7.5
∴ Number of days required to complete the work by 5 men and 6 women = 7.5 days
Most Upvoted Answer
If 5 men can do a piece of work in 10 days and 12 women can do the sam...
Given Information:
- 5 men can do a piece of work in 10 days
- 12 women can do the same work in 15 days
Calculation:
Let's assume that the work is to build a wall, and the total work required is 1 unit.
Step 1: Calculate the work done per day by a man:
- 5 men can complete the work in 10 days.
- So, in 1 day, 5 men will complete 1/10th of the work.
- Therefore, the work done by 1 man in 1 day = 1/10 * 1/5 = 1/50th of the work.
Step 2: Calculate the work done per day by a woman:
- 12 women can complete the work in 15 days.
- So, in 1 day, 12 women will complete 1/15th of the work.
- Therefore, the work done by 1 woman in 1 day = 1/15 * 1/12 = 1/180th of the work.
Step 3: Calculate the work done per day by 5 men and 6 women:
- To find the combined work done per day, we add the work done by 5 men and 6 women.
- Work done by 5 men in 1 day = 5 * (1/50) = 1/10th of the work.
- Work done by 6 women in 1 day = 6 * (1/180) = 1/30th of the work.
- Therefore, the combined work done by 5 men and 6 women in 1 day = 1/10 + 1/30 = 2/30 = 1/15th of the work.
Step 4: Calculate the number of days required to complete the work:
- We know that the combined work done by 5 men and 6 women in 1 day is 1/15th of the work.
- Therefore, the total number of days required to complete the work is 15/1 = 15 days.
Conclusion:
- The number of days required to complete the work by 5 men and 6 women is 15 days.
- However, none of the given options match the correct answer.
- 5 men can do a piece of work in 10 days
- 12 women can do the same work in 15 days
Calculation:
Let's assume that the work is to build a wall, and the total work required is 1 unit.
Step 1: Calculate the work done per day by a man:
- 5 men can complete the work in 10 days.
- So, in 1 day, 5 men will complete 1/10th of the work.
- Therefore, the work done by 1 man in 1 day = 1/10 * 1/5 = 1/50th of the work.
Step 2: Calculate the work done per day by a woman:
- 12 women can complete the work in 15 days.
- So, in 1 day, 12 women will complete 1/15th of the work.
- Therefore, the work done by 1 woman in 1 day = 1/15 * 1/12 = 1/180th of the work.
Step 3: Calculate the work done per day by 5 men and 6 women:
- To find the combined work done per day, we add the work done by 5 men and 6 women.
- Work done by 5 men in 1 day = 5 * (1/50) = 1/10th of the work.
- Work done by 6 women in 1 day = 6 * (1/180) = 1/30th of the work.
- Therefore, the combined work done by 5 men and 6 women in 1 day = 1/10 + 1/30 = 2/30 = 1/15th of the work.
Step 4: Calculate the number of days required to complete the work:
- We know that the combined work done by 5 men and 6 women in 1 day is 1/15th of the work.
- Therefore, the total number of days required to complete the work is 15/1 = 15 days.
Conclusion:
- The number of days required to complete the work by 5 men and 6 women is 15 days.
- However, none of the given options match the correct answer.
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If 5 men can do a piece of work in 10 days and 12 women can do the same work in 15 days, the number of days required to complete the work by 5 men and 6 women isa)7.5 daysb)8 daysc)9.5 daysd)12 daysCorrect answer is option 'A'. Can you explain this answer?
Question Description
If 5 men can do a piece of work in 10 days and 12 women can do the same work in 15 days, the number of days required to complete the work by 5 men and 6 women isa)7.5 daysb)8 daysc)9.5 daysd)12 daysCorrect answer is option 'A'. 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 If 5 men can do a piece of work in 10 days and 12 women can do the same work in 15 days, the number of days required to complete the work by 5 men and 6 women isa)7.5 daysb)8 daysc)9.5 daysd)12 daysCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 5 men can do a piece of work in 10 days and 12 women can do the same work in 15 days, the number of days required to complete the work by 5 men and 6 women isa)7.5 daysb)8 daysc)9.5 daysd)12 daysCorrect answer is option 'A'. Can you explain this answer?.
If 5 men can do a piece of work in 10 days and 12 women can do the same work in 15 days, the number of days required to complete the work by 5 men and 6 women isa)7.5 daysb)8 daysc)9.5 daysd)12 daysCorrect answer is option 'A'. 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 If 5 men can do a piece of work in 10 days and 12 women can do the same work in 15 days, the number of days required to complete the work by 5 men and 6 women isa)7.5 daysb)8 daysc)9.5 daysd)12 daysCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 5 men can do a piece of work in 10 days and 12 women can do the same work in 15 days, the number of days required to complete the work by 5 men and 6 women isa)7.5 daysb)8 daysc)9.5 daysd)12 daysCorrect answer is option 'A'. Can you explain this answer?.
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