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CLAT Exam  >  CLAT Questions  >   6 men can complete a certain piece of work i... Start Learning for Free
6 men can complete a certain piece of work in 4 days, whereas 8 women can complete the same piece of work in 4 days. 3 men start working on the job and they quit the job after working for 2 days. How many women should be employed to complete the remaining work, if it is to be completed within the next 3 days?
  • a)
    6 women
  • b)
    9 women
  • c)
    8 women
  • d)
    24 women
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
6 men can complete a certain piece of work in 4 days, whereas 8 women...
1man′s 1day′s work =1 / 24
1 woman's 1 day's work = 1 / 32
3 men's 2 days' work = 6 / 24 = 14
Remaining work = 1 − 1 / 4 = 34
1 / 32 of the work is done by 1 woman in 1 day.
Or, total work can be done by 3/2 women in 1 day. Therefore, 3/4 of the work shall be done by
3 / 4 × 32 = 24 women in 1 day, or 8 women in 3 days 8 × 3 = 24
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Community Answer
6 men can complete a certain piece of work in 4 days, whereas 8 women...
Understanding the Problem
To solve the problem, we first need to determine the work rate of men and women.
Work Rates
- 6 men can complete the work in 4 days.
- Therefore, 1 man can complete the work in 6 times 4 days = 24 days.
- Work done by 1 man in 1 day = 1/24.
- 8 women can complete the same work in 4 days.
- Therefore, 1 woman can complete the work in 8 times 4 days = 32 days.
- Work done by 1 woman in 1 day = 1/32.
Work Done by Men in 2 Days
- 3 men work for 2 days:
- Work done by 3 men in 1 day = 3 * (1/24) = 1/8.
- Work done by 3 men in 2 days = 2 * (1/8) = 1/4.
Remaining Work
- Total work = 1 (whole work).
- Work done by 3 men = 1/4.
- Remaining work = 1 - 1/4 = 3/4.
Time and Work Calculation
- Remaining work = 3/4 needs to be completed in 3 days.
- Work needed per day = (3/4) / 3 = 1/4.
Women Needed to Complete the Work
- Work done by 1 woman in 1 day = 1/32.
- Let 'x' be the number of women required to complete 1/4 work in 1 day:
- x * (1/32) = 1/4.
- x = (1/4) / (1/32) = 8.
Thus, the number of women required to complete the remaining work in the given time is 8.
Final Answer
The correct option is c) 8 women.
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6 men can complete a certain piece of work in 4 days, whereas 8 women can complete the same piece of work in 4 days. 3 men start working on the job and they quit the job after working for 2 days. How many women should be employed to complete the remaining work, if it is to be completed within the next 3 days?a)6 womenb)9 womenc)8 womend)24 womenCorrect answer is option 'C'. Can you explain this answer?
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6 men can complete a certain piece of work in 4 days, whereas 8 women can complete the same piece of work in 4 days. 3 men start working on the job and they quit the job after working for 2 days. How many women should be employed to complete the remaining work, if it is to be completed within the next 3 days?a)6 womenb)9 womenc)8 womend)24 womenCorrect answer is option 'C'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about 6 men can complete a certain piece of work in 4 days, whereas 8 women can complete the same piece of work in 4 days. 3 men start working on the job and they quit the job after working for 2 days. How many women should be employed to complete the remaining work, if it is to be completed within the next 3 days?a)6 womenb)9 womenc)8 womend)24 womenCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 6 men can complete a certain piece of work in 4 days, whereas 8 women can complete the same piece of work in 4 days. 3 men start working on the job and they quit the job after working for 2 days. How many women should be employed to complete the remaining work, if it is to be completed within the next 3 days?a)6 womenb)9 womenc)8 womend)24 womenCorrect answer is option 'C'. Can you explain this answer?.
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