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12 men and 16 women together can complete a work in 4 days. It takes 80 days for man alone to complete the same work, then how many days would be required for one woman alone to complete the same work?
- a)160
- b)150
- c)130
- d)175
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
12 men and 16 women together can complete a work in 4 days. It takes 8...
Work done by men in one day = 1/80
Work done by 12 men in one day = 12/80
Work done by 12 men and 16 women in one day = 1/4
∴ Work done by 16 women in one day = 1/4 - 12/80 = 1/10
Work done by one women in one day = 1/10 × 1/16 = 1/160
∴ 160 days are required for one women alone to complete the same work
Most Upvoted Answer
12 men and 16 women together can complete a work in 4 days. It takes 8...
Given information:
- 12 men and 16 women together can complete a work in 4 days.
- It takes 80 days for a man alone to complete the same work.
To find: How many days would be required for one woman alone to complete the same work?
Solution:
Let the work be W.
Efficiency of 12 men in one day = 1/80 (as 80 days for one man to complete the work)
Efficiency of 16 women in one day = (1/4) - (1/80) [as together they can complete the work in 4 days and 12 men complete 1/80th of the work in one day]
Simplifying the above equation, we get the efficiency of 16 women in one day = 3/80
Efficiency of one woman in one day = (3/80) ÷ 16 = 3/(16*80)
Number of days required for one woman alone to complete the work = W ÷ (3/(16*80))
Simplifying the above equation, we get the number of days required = 160
Therefore, option (A) 160 is the correct answer.
Note: The above solution can also be solved using the concept of the total work done. Let the total work be W, which is done by 12 men and 16 women together in 4 days. Then the total work done by one man alone in one day = W/ (12*4) and the total work done by 1 woman alone in one day = W/ (16*4). Using the given information, we can equate the two expressions and solve for the number of days required for one woman alone to complete the work.
- 12 men and 16 women together can complete a work in 4 days.
- It takes 80 days for a man alone to complete the same work.
To find: How many days would be required for one woman alone to complete the same work?
Solution:
Let the work be W.
Efficiency of 12 men in one day = 1/80 (as 80 days for one man to complete the work)
Efficiency of 16 women in one day = (1/4) - (1/80) [as together they can complete the work in 4 days and 12 men complete 1/80th of the work in one day]
Simplifying the above equation, we get the efficiency of 16 women in one day = 3/80
Efficiency of one woman in one day = (3/80) ÷ 16 = 3/(16*80)
Number of days required for one woman alone to complete the work = W ÷ (3/(16*80))
Simplifying the above equation, we get the number of days required = 160
Therefore, option (A) 160 is the correct answer.
Note: The above solution can also be solved using the concept of the total work done. Let the total work be W, which is done by 12 men and 16 women together in 4 days. Then the total work done by one man alone in one day = W/ (12*4) and the total work done by 1 woman alone in one day = W/ (16*4). Using the given information, we can equate the two expressions and solve for the number of days required for one woman alone to complete the work.
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12 men and 16 women together can complete a work in 4 days. It takes 80 days for man alone to complete the same work, then how many days would be required for one woman alone to complete the same work?a)160b)150c)130d)175Correct answer is option 'A'. Can you explain this answer?
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12 men and 16 women together can complete a work in 4 days. It takes 80 days for man alone to complete the same work, then how many days would be required for one woman alone to complete the same work?a)160b)150c)130d)175Correct answer is option 'A'. 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 12 men and 16 women together can complete a work in 4 days. It takes 80 days for man alone to complete the same work, then how many days would be required for one woman alone to complete the same work?a)160b)150c)130d)175Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 12 men and 16 women together can complete a work in 4 days. It takes 80 days for man alone to complete the same work, then how many days would be required for one woman alone to complete the same work?a)160b)150c)130d)175Correct answer is option 'A'. Can you explain this answer?.
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