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20 men can complete a work in 14 days and 20 women can complete the same work in 18 days. 7 men and 9 women started the work. After working for some days, they were replaced by 10 men and 10 women who complete the remaining work in 9 days. How much work was completed by initially employed men and women?
- a)2/5
- b)3/7
- c)4/7
- d)3/8
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
20 men can complete a work in 14 days and 20 women can complete the sa...
20 m in 14 days so 10 men in (20*14)/10 = 28 days
20 w in 18 days so 10 women in (20*18)/10 = 36 days
So (1/28 + 1/36)*9 = 4/7
So 1 – 4/7 = 3/7 work was done by 7 men and 9 women
20 w in 18 days so 10 women in (20*18)/10 = 36 days
So (1/28 + 1/36)*9 = 4/7
So 1 – 4/7 = 3/7 work was done by 7 men and 9 women
Most Upvoted Answer
20 men can complete a work in 14 days and 20 women can complete the sa...
Let's assume that the total work to be done is 1 unit.
Given Information:
- 20 men can complete the work in 14 days. So, the work done by 20 men in 1 day is 1/14 units.
- 20 women can complete the work in 18 days. So, the work done by 20 women in 1 day is 1/18 units.
- 7 men and 9 women started the work. Let's assume they worked for 'x' days.
- After 'x' days, they were replaced by 10 men and 10 women who completed the remaining work in 9 days.
Work done by men and women in 'x' days:
- The work done by 7 men in 'x' days is (7/14)x = (1/2)x units.
- The work done by 9 women in 'x' days is (9/18)x = (1/2)x units.
Work done by 10 men and 10 women in 9 days:
- The work done by 10 men in 9 days is (10/14) * 9 = (15/2) units.
- The work done by 10 women in 9 days is (10/18) * 9 = 5 units.
Total work done:
- The total work done by initially employed men and women is [(1/2)x + (1/2)x] = x units.
- The total work done by replaced men and women is [(15/2) + 5] = (25/2) units.
Equating the total work done to 1 unit:
x + (25/2) = 1
Simplifying the equation:
2x + 25 = 2
2x = -24
x = -12
Since the value of 'x' is negative, it doesn't make sense in the context of the question. Therefore, there seems to be an error in the given information or the question itself. The correct answer cannot be determined with the information given.
Given Information:
- 20 men can complete the work in 14 days. So, the work done by 20 men in 1 day is 1/14 units.
- 20 women can complete the work in 18 days. So, the work done by 20 women in 1 day is 1/18 units.
- 7 men and 9 women started the work. Let's assume they worked for 'x' days.
- After 'x' days, they were replaced by 10 men and 10 women who completed the remaining work in 9 days.
Work done by men and women in 'x' days:
- The work done by 7 men in 'x' days is (7/14)x = (1/2)x units.
- The work done by 9 women in 'x' days is (9/18)x = (1/2)x units.
Work done by 10 men and 10 women in 9 days:
- The work done by 10 men in 9 days is (10/14) * 9 = (15/2) units.
- The work done by 10 women in 9 days is (10/18) * 9 = 5 units.
Total work done:
- The total work done by initially employed men and women is [(1/2)x + (1/2)x] = x units.
- The total work done by replaced men and women is [(15/2) + 5] = (25/2) units.
Equating the total work done to 1 unit:
x + (25/2) = 1
Simplifying the equation:
2x + 25 = 2
2x = -24
x = -12
Since the value of 'x' is negative, it doesn't make sense in the context of the question. Therefore, there seems to be an error in the given information or the question itself. The correct answer cannot be determined with the information given.
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20 men can complete a work in 14 days and 20 women can complete the same work in 18 days. 7 men and 9 women started the work. After working for some days, they were replaced by 10 men and 10 women who complete the remaining work in 9 days. How much work was completed by initially employed men and women?a)2/5b)3/7c)4/7d)3/8e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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20 men can complete a work in 14 days and 20 women can complete the same work in 18 days. 7 men and 9 women started the work. After working for some days, they were replaced by 10 men and 10 women who complete the remaining work in 9 days. How much work was completed by initially employed men and women?a)2/5b)3/7c)4/7d)3/8e)None of theseCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about 20 men can complete a work in 14 days and 20 women can complete the same work in 18 days. 7 men and 9 women started the work. After working for some days, they were replaced by 10 men and 10 women who complete the remaining work in 9 days. How much work was completed by initially employed men and women?a)2/5b)3/7c)4/7d)3/8e)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 20 men can complete a work in 14 days and 20 women can complete the same work in 18 days. 7 men and 9 women started the work. After working for some days, they were replaced by 10 men and 10 women who complete the remaining work in 9 days. How much work was completed by initially employed men and women?a)2/5b)3/7c)4/7d)3/8e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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