Multiple choice

Twenty women together can complete a work in 16 days. 16 men together can complete the same work in 15 days. Find the ratio of the working capacity of a man to that of a woman.

  1. $3 : 4$
  2. $4 : 3$
  3. $5 : 3$
  4. $4 : 5$
  5. $5 : 7$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Total work = 20 women × 16 days = 320 woman-days. Total work = 16 men × 15 days = 240 man-days. One woman's capacity = 1/320 work/day. One man's capacity = 1/240 work/day. Ratio man:woman = (1/240):(1/320) = 320:240 = 4:3. Note: question asks ratio of man to woman, so 4:3 matches option A.

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