Twelve men can do a work in twenty days while twenty women can finish the same work in sixteen days. Find the ratio between the capacity of a man and a woman.
Correct answer: C. 4:3
- A. 3:4
- B. 5:4
- C. 4:3
- D. 5:3
Explanation
The same work can be represented as 12 men x 20 days = 240 man-days or 20 women x 16 days = 320 woman-days. Therefore one man's capacity compared with one woman's capacity is 1/240 : 1/320 = 320:240 = 4:3. The likely mistake is 3:4, which reverses the ratio of individual capacities.
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Ratios compare quantities in the same units, while proportions state that two ratios are equal. Problems cover simplification, division in a given ratio, direct and inverse variation, scale, and missing terms, with attention to the difference between a ratio and a fraction representing part of a whole.
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