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6 men and 8 women can complete a work in 10 days. 26 men and 48 women can finish the same work in 2 days. 15 men and 20 women can do the same work in - days.
- a)4 days
- b)6 days
- c)2 days
- d)8 days
- e)5 days
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
6 men and 8 women can complete a work in 10 days. 26 men and 48 women ...
Let work done by 1 man in 1 day = m and work done by 1 woman in 1 day = b
Work done by 6 men and 8 women in 1 day = 1/10
=> 6m + 8b = 1/10
=> 60m + 80b = 1 --- (1)
Work done by 26 men and 48 women in 1 day = 1/2
=> 26m + 48b = ½
=> 52m + 96b = 1--- (2)
Solving equation 1 and equation 2. We get m = 1/100 and b = 1/200
Work done by 15 men and 20 women in 1 day
= 15/100 + 20/200 =1/4
=> Time taken by 15 men and 20 women in doing the work = 4 days
Work done by 6 men and 8 women in 1 day = 1/10
=> 6m + 8b = 1/10
=> 60m + 80b = 1 --- (1)
Work done by 26 men and 48 women in 1 day = 1/2
=> 26m + 48b = ½
=> 52m + 96b = 1--- (2)
Solving equation 1 and equation 2. We get m = 1/100 and b = 1/200
Work done by 15 men and 20 women in 1 day
= 15/100 + 20/200 =1/4
=> Time taken by 15 men and 20 women in doing the work = 4 days
Most Upvoted Answer
6 men and 8 women can complete a work in 10 days. 26 men and 48 women ...
Given Information:
- 6 men and 8 women complete a work in 10 days
- 26 men and 48 women complete the same work in 2 days
Calculating the work rate per person:
- Let the work be represented as W
- The work rate for 6 men and 8 women is W/10
- The work rate for 26 men and 48 women is W/2
Calculating the work rate per man and woman:
- Let the work rate for a man be M and for a woman be W
- From the given information, we can set up the equations:
6M + 8W = W/10
26M + 48W = W/2
Solving the equations:
- Simplifying the first equation, we get 60M + 80W = W
- Simplifying the second equation, we get 52M + 96W = W
- By solving these equations, we find M = 1/60 and W = 1/80
Calculating the work rate for 15 men and 20 women:
- The work rate for 15 men and 20 women is 15M + 20W = 15/60 + 20/80 = 1/4
Calculating the number of days needed:
- Let the number of days needed be D
- The total work is 1, so the work rate for 15 men and 20 women over D days is 1/D
- Setting up the equation, we get 1/4 = 1/D
- Solving for D, we find D = 4 days
Therefore, the work can be completed by 15 men and 20 women in 4 days.
- 6 men and 8 women complete a work in 10 days
- 26 men and 48 women complete the same work in 2 days
Calculating the work rate per person:
- Let the work be represented as W
- The work rate for 6 men and 8 women is W/10
- The work rate for 26 men and 48 women is W/2
Calculating the work rate per man and woman:
- Let the work rate for a man be M and for a woman be W
- From the given information, we can set up the equations:
6M + 8W = W/10
26M + 48W = W/2
Solving the equations:
- Simplifying the first equation, we get 60M + 80W = W
- Simplifying the second equation, we get 52M + 96W = W
- By solving these equations, we find M = 1/60 and W = 1/80
Calculating the work rate for 15 men and 20 women:
- The work rate for 15 men and 20 women is 15M + 20W = 15/60 + 20/80 = 1/4
Calculating the number of days needed:
- Let the number of days needed be D
- The total work is 1, so the work rate for 15 men and 20 women over D days is 1/D
- Setting up the equation, we get 1/4 = 1/D
- Solving for D, we find D = 4 days
Therefore, the work can be completed by 15 men and 20 women in 4 days.
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6 men and 8 women can complete a work in 10 days. 26 men and 48 women can finish the same work in 2 days. 15 men and 20 women can do the same work in - days.a)4 daysb)6 daysc)2 daysd)8 dayse)5 daysCorrect answer is option 'A'. Can you explain this answer?
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6 men and 8 women can complete a work in 10 days. 26 men and 48 women can finish the same work in 2 days. 15 men and 20 women can do the same work in - days.a)4 daysb)6 daysc)2 daysd)8 dayse)5 daysCorrect answer is option 'A'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 6 men and 8 women can complete a work in 10 days. 26 men and 48 women can finish the same work in 2 days. 15 men and 20 women can do the same work in - days.a)4 daysb)6 daysc)2 daysd)8 dayse)5 daysCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 6 men and 8 women can complete a work in 10 days. 26 men and 48 women can finish the same work in 2 days. 15 men and 20 women can do the same work in - days.a)4 daysb)6 daysc)2 daysd)8 dayse)5 daysCorrect answer is option 'A'. Can you explain this answer?.
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