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 ?
Correct answer: B. 4 : 3
- A. 3 : 4
- B. 4 : 3
- C. 5 : 3
- D. Data inadequate
Explanation
The same work equals 20 women x 16 days = 320 woman-days and 16 men x 15 days = 240 man-days. Therefore one man's capacity compared with one woman's capacity is 320/240 = 4/3, so the ratio is 4:3. The likely trap is 3:4, which reverses the requested order of man's capacity to woman's capacity.
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About Time and Work
Problems measure work through rates, treating each person's or machine's contribution as work completed per unit time. Questions cover combined work, efficiency, wages, alternate working schedules, pipes and cisterns, and men-days relationships, with care needed to distinguish time taken by one worker from the time required when workers act together.
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