Multiple choice

DIRECTION for the question: Solve the following question and mark the best possible option. Sixteen men can complete a work in twelve days. Twenty-four children can complete the same work in eighteen days. Twelve men and eight children started working and after eight days three more children joined them. How many days will they now take to complete the remaining work?

  1. 8

  2. 2

  3. 5

  4. 4

  5. 7
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

16M = 12 days -> 1M = 192 days. 24C = 18 days -> 1C = 432 days. 12M + 8C rate = 12/192 + 8/432 = 1/16 + 1/54 = 35/432. Work done in 8 days = 8 * 35/432 = 35/54. Remaining = 19/54. New rate (12M + 11C) = 12/192 + 11/432 = 1/16 + 11/432 = 38/432 = 19/216. Time = (19/54) / (19/216) = 216/54 = 4 days.

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