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10 men can complete a work in 8 days. 20 women can complete the same work in 6 days. In how many days 16 men and 18 women can complete the same work, working together ?
- a)19/7
- b)20/7
- c)24/7
- d)17/7
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
10 men can complete a work in 8 days. 20 women can complete the same ...
10m → 8 days ⇒ 20m → 4 days ⇒ 1m → 80 days
20w → 6 days ⇒ 20w → 6 days ⇒ 1w → 120 days
∴ 2m = 3w
Thus, 16m + 18w = 24w + 18w = 42w
20w x 6 = 42w x
(Where x is the number of days taken by 42 women)
∴ x = 20/7 days ⇒ 2(6/7) days
Most Upvoted Answer
10 men can complete a work in 8 days. 20 women can complete the same ...
Understanding Work Capacity
To solve the problem, we first need to determine the work capacity of men and women.
Work Done by Men
- 10 men can complete the work in 8 days.
- Therefore, the total work can be expressed as:
Work = Number of Men × Days = 10 men × 8 days = 80 man-days.
- Hence, 1 man can complete the work in:
80 man-days / 10 men = 8 days.
- Thus, the work rate of 1 man is:
1 work unit in 80 days.
Work Done by Women
- 20 women can complete the same work in 6 days.
- Therefore, the total work can be expressed as:
Work = Number of Women × Days = 20 women × 6 days = 120 woman-days.
- Hence, 1 woman can complete the work in:
120 woman-days / 20 women = 6 days.
- Thus, the work rate of 1 woman is:
1 work unit in 120 days.
Combining Work Rates
- Work rate of 16 men:
16 men × (1 work unit / 80 days) = 16/80 = 1/5 work units per day.
- Work rate of 18 women:
18 women × (1 work unit / 120 days) = 18/120 = 3/20 work units per day.
Total Work Rate
- Combined work rate of 16 men and 18 women:
(1/5 + 3/20) = (4/20 + 3/20) = 7/20 work units per day.
Calculating Days to Complete Work
- If they work together at a rate of 7/20 work units per day, the time taken to complete 1 work unit is:
1 work unit / (7/20 work units per day) = 20/7 days.
Thus, the final answer is that 16 men and 18 women can complete the work in 20/7 days, which corresponds to option 'B'.
To solve the problem, we first need to determine the work capacity of men and women.
Work Done by Men
- 10 men can complete the work in 8 days.
- Therefore, the total work can be expressed as:
Work = Number of Men × Days = 10 men × 8 days = 80 man-days.
- Hence, 1 man can complete the work in:
80 man-days / 10 men = 8 days.
- Thus, the work rate of 1 man is:
1 work unit in 80 days.
Work Done by Women
- 20 women can complete the same work in 6 days.
- Therefore, the total work can be expressed as:
Work = Number of Women × Days = 20 women × 6 days = 120 woman-days.
- Hence, 1 woman can complete the work in:
120 woman-days / 20 women = 6 days.
- Thus, the work rate of 1 woman is:
1 work unit in 120 days.
Combining Work Rates
- Work rate of 16 men:
16 men × (1 work unit / 80 days) = 16/80 = 1/5 work units per day.
- Work rate of 18 women:
18 women × (1 work unit / 120 days) = 18/120 = 3/20 work units per day.
Total Work Rate
- Combined work rate of 16 men and 18 women:
(1/5 + 3/20) = (4/20 + 3/20) = 7/20 work units per day.
Calculating Days to Complete Work
- If they work together at a rate of 7/20 work units per day, the time taken to complete 1 work unit is:
1 work unit / (7/20 work units per day) = 20/7 days.
Thus, the final answer is that 16 men and 18 women can complete the work in 20/7 days, which corresponds to option 'B'.
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10 men can complete a work in 8 days. 20 women can complete the same work in 6 days. In how many days 16 men and 18 women can complete the same work, working together ?a)19/7b)20/7c)24/7d)17/7Correct answer is option 'B'. Can you explain this answer?
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10 men can complete a work in 8 days. 20 women can complete the same work in 6 days. In how many days 16 men and 18 women can complete the same work, working together ?a)19/7b)20/7c)24/7d)17/7Correct 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 10 men can complete a work in 8 days. 20 women can complete the same work in 6 days. In how many days 16 men and 18 women can complete the same work, working together ?a)19/7b)20/7c)24/7d)17/7Correct 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 10 men can complete a work in 8 days. 20 women can complete the same work in 6 days. In how many days 16 men and 18 women can complete the same work, working together ?a)19/7b)20/7c)24/7d)17/7Correct answer is option 'B'. Can you explain this answer?.
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