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Q11 (CISF/2019) Miscellaneous & General Knowledge › Important Days, Places & Events

A can complete a work in 12 days. Bis 60% more efficient than A. The number of days taken by B to finish the same work is

Explanation

To find the time taken by B, we first determine the efficiency of both individuals. Efficiency is inversely proportional to the time taken to complete a work.

  • Time taken by A = 12 days.
  • Efficiency of A = 1/12 units per day.
  • Since B is 60% more efficient than A, B's efficiency is 160% of A's efficiency: 1/12 × 1.6 = 16/120 = 2/15 units per day.

The number of days taken by B is the reciprocal of its efficiency:

TimeB = 1 ÷ (2/15) = 15/2 = 7.5 days

Converting 7.5 days into a mixed fraction gives 71⁄2 days. In the provided options, 72 is a typographical error representing 71⁄2. Therefore, option C is the correct choice.

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