Multiple choice

Vibhu alone can do a certain task in 24 days and Kashish alone can do the same task in 48 days. They start the task together and then due to some reason, Vibhu leaves 12 days before the task is completed. In total how many days is the task completed?

  1. 26 days

  2. 24 days

  3. 23 days

  4. 22 days.

  5. 20 days
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Vibhu does 1/24 per day, Kashish does 1/48 per day. Together they do 3/48 = 1/16 per day. Let total days be x. Kashish works for x days, Vibhu works for x-12 days. (x-12)/24 + x/48 = 1. Multiply by 48: 2(x-12) + x = 48. 2x - 24 + x = 48. 3x = 72. x = 24.

AI explanation

Let the total time to complete the task be T days. Using the work equation, Vibhu works for (T - 12) days and Kashish works for T days. Their combined one-day work is 1/24 + 1/48 = 3/48 or 1/16. The equation is (T - 12)/24 + T/48 = 1, which simplifies to 2T - 24 + T = 48, meaning 3T = 72. Therefore, the total time T is 24 days.

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