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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

Result
Your answer: —  ·  Correct: C

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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