Multiple choice

A and B can complete a piece of work in 24 days and 30 days respectively when working alone. They start working together and after 10 days B left, The remaining work will be completed by A in

  1. 4 days

  2. 6 Days

  3. 8 days

  4. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A does 1/24 of work per day, B does 1/30. Together they do (1/24 + 1/30) = 9/120 = 3/40 per day. In 10 days, they complete 10 * (3/40) = 3/4 of the work. Remaining work is 1/4, which A completes in (1/4) / (1/24) = 6 days.

AI explanation

The combined one day work of A and B is 1 divided by 24 plus 1 divided by 30, which equals 5 divided by 120 plus 4 divided by 120 equals 3 divided by 40. Working together for 10 days, they complete 10 times 3 divided by 40, leaving 1 minus 3 divided by 4 equals 1 divided by 4 of the work remaining. Since A completes 1 divided by 24 of the work per day, A will take (1 divided by 4) divided by (1 divided by 24) days to finish the remaining work, which is 6 days.

Keep practicing — related questions