Multiple choice

The efficiencies of A, B and C are in the ratio of (2.5:3.5:5.5). Working together, they can complete a task in 13 days. In how many days will A alone complete 39% of the task?

  1. $23.389 days$
  2. $23.365 days$
  3. $23.356 days$
  4. $23.322 days$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Efficiencies 2.5:3.5:5.5 means work rates are proportional to these values. Combined rate = 11.5k, completing work in 13 days. A's rate = 2.5k. A alone would take 13 × 11.5/2.5 = 59.8 days for full work. For 39% of work: 59.8 × 0.39 ≈ 23.322 days.