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A work can be finished in 16 days by twenty women. The same work can be finished in fifteen days by sixteen men. The ratio between the capacity of a man and a woman is_________?

Correct answer: B. 4:3

  • A. 1:3
  • B. 4:3
  • C. 2:3
  • D. 2:1

Explanation

The work equals 20 women x 16 days = 320 woman-days and also 16 men x 15 days = 240 man-days. Thus a man's capacity compared with a woman's is 1/240 : 1/320 = 320:240 = 4:3. The likely mistake is 2:3, which does not use the equal-work relationship correctly.

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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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