Multiple choice

3 men and 7 women can do a job in 5 days, while 4 men and 6 women can do it in 4 days. The number of days required for a group of 10 women working together at the same rate as before, to finish the same job is-

  1. 20

  2. 30

  3. 36

  4. 40

  5. None of these
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A Correct answer
Explanation

Setting up the equations: 5(3m + 7w) = 4(4m + 6w) = 1. Solving gives 11w = m. Substituting back: 5(40w) = 1, so w = 1/200 of the job per day. For 10 women: 10w = 10/200 = 1/20 of the job per day. Therefore, 10 women take 20 days.

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