Multiple choice

A can do a piece of work in 20 days and B can do the 1/7th of the same work in 5 days. In how many days together they can complete the 11/14th of the total work?

  1. 140/11 days

  2. 15 Days

  3. 20 Days

  4. 10 Days

  5. None of these

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

A can complete the work in 20 days, and B can complete the entire work in 35 days. Their combined rate is 1/20 + 1/35 = 11/140 of the work per day, meaning they will take 10 days to complete 11/14 of the total work.

AI explanation

A's one day work is 1/20, and since B completes 1/7th of the work in 5 days, B's one day work is 1/35. Using the combined work formula, their daily work becomes 1/20 + 1/35, which is 11/140 of the task per day. To complete 11/14th of the work, divide 11/14 by their daily work of 11/140, yielding exactly 10 days.