Multiple choice

A is 20% more efficient than B, but he works for five hours a day, whereas B works for 6 hours a day. If both A and B work together, they complete the work in 6 days. How many days are required to complete the work, if only A works for 3 hours a day?

  1. 8 days

  2. 10 days

  3. 12 days

  4. 20 days

  5. 16 days

Reveal answer Fill a bubble to check yourself
D Correct answer
AI explanation

Since A is 20 percent more efficient than B, the ratio of their daily work capacities is 1.2 to 1, or 6 to 5. Working 5 hours a day, A completes 30 units daily, while B working 6 hours daily completes 30 units, meaning their combined daily output is 60 units. They finish the job in 6 days, so the total work is 360 units; if A works alone for 3 hours a day, he completes 18 units daily, and dividing 360 by 18 gives 20 days.