Multiple choice

To do a certain work, the ratio of the efficiencies of A and B is 7 : 5. Working together, they can complete the same work in 17 1 2 days. A alone will complete 60% of the same work in:

  1. 18 days

  2. 15 days

  3. 16 days

  4. 21 days

  5. 22 days

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Total work = (7+5) * 17.5 = 12 * 17.5 = 210 units. A's efficiency is 7 units/day. 60% of work is 0.6 * 210 = 126 units. Time taken by A = 126 / 7 = 18 days.

AI explanation

Using the combined work formula, the sum of their efficiency units is 12, and they complete the total work in 35/2 days, meaning the total work is 12 multiplied by 35/2, which equals 210 units. Since A has an efficiency of 7 units per day, 60 percent of the 210 units equals 126 units. Dividing 126 units by A's daily capacity of 7 units gives a completion time of 18 days.