Multiple choice

A and B working together completes a work in 40 days. If A is 37.5% less efteicent than B then A working alone will take how many days more than B working alone.

  1. 24 days

  2. 30 days

  3. 39 days

  4. 42 days

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

Let B's efficiency = 1 unit/day. A's efficiency = 62.5% of B = 0.625 units/day. Combined efficiency = 1.625 units/day. Total work = 1.625 × 40 = 65 units. B alone: 65/1 = 65 days. A alone: 65/0.625 = 104 days. Difference = 104 - 65 = 39 days. Answer C is correct.

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