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Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?
  • a)
    3 : 4
  • b)
    4 : 3
  • c)
    5 : 3
  • d)
    Data inadequate
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Twenty women can do a work in sixteen days. Sixteen men can complete t...
(20 * 16) women can complete the work in 1 day.
1 woman's 1 day's work = 1/320.
(16 * 15) men can complete the work in 1 day.
 1 man's 1 day's work = 1/240.
So, required ratio =
1/240 : 1/320.
= 1/3 : 1/4
= 4 : 3 (cross multiplied)
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Twenty women can do a work in sixteen days. Sixteen men can complete t...
Given:
- Twenty women can do a work in sixteen days.
- Sixteen men can complete the same work in fifteen days.

To find: The ratio between the capacity of a man and a woman

Let's assume that the work to be done is to build a wall.

Capacity of a woman:
- Let's assume that each woman can build 1 meter of the wall in a day.
- So, twenty women can build 20 meters of the wall in a day.
- As they complete the work in sixteen days, the total length of the wall built by them would be 20 x 16 = 320 meters.
- Therefore, the capacity of each woman to build the wall is 320/20 = 16 meters.

Capacity of a man:
- Let's assume that each man can build 1.5 meters of the wall in a day.
- So, sixteen men can build 24 meters of the wall in a day.
- As they complete the work in fifteen days, the total length of the wall built by them would be 24 x 15 = 360 meters.
- Therefore, the capacity of each man to build the wall is 360/16 = 22.5 meters.

Ratio of capacity of a man and a woman:
- The ratio of their capacities would be 22.5/16 = 9/4 = 4/3 (approx)
- Hence, the required ratio is 4 : 3.

Therefore, option (B) is the correct answer.
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Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?a)3 : 4b)4 : 3c)5 : 3d)Data inadequateCorrect answer is option 'B'. Can you explain this answer?
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