Multiple choice

A can complete a work in 12 days & B can complete the same work in 16 days. In how many days can A & B together complete the same work?

  1. 16/3 days

  2. 45/7 days

  3. 17/3 days

  4. 48/7 days

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

A's rate = 1/12, B's rate = 1/16. Combined rate = 1/12 + 1/16 = 4/48 + 3/48 = 7/48. Time taken = 48/7 days.

AI explanation

Using the LCM method, let the total work be the least common multiple of 12 and 16, which is 48 units. A's daily work rate is 48 / 12 = 4 units per day, and B's daily work rate is 48 / 16 = 3 units per day. Working together, their combined daily rate is 4 + 3 = 7 units per day. Therefore, A and B together can complete the 48 units of work in 48 / 7 days.

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