Multiple choice

12 men can complete a piece of work in 16 days. 18 women can complete the same work in 24 days. In how many days will 10 men and 18 women together complete the same work?

  1. $17/6 days$
  2. $11/3 days$
  3. $35/3 days$
  4. $32/3 days$

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

12 men in 16 days means 1 man's 1 day work = 1/(12×16) = 1/192. 18 women in 24 days means 1 woman's 1 day work = 1/(18×24) = 1/432. Combined work of 10 men and 18 women = 10/192 + 18/432 = 5/96 + 1/24 = 5/96 + 4/96 = 9/96 = 3/32. Time needed = 32/3 days.

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