Multiple choice

Aditya can finish a piece of work in 21 days and Sam can do the same work in 24 days. They start the work together; but after some time, Aditya leaves the work and Sam finishes it in 9 days. Find out after how many days Aditya leaves the work.

  1. 3

  2. 5

  3. 7

  4. 2

  5. 1
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Sam's work in 9 days = 9/24 = 3/8. Remaining work = 5/8. Aditya and Sam together rate = 1/21 + 1/24 = 15/168 = 5/56. Time = (5/8) / (5/56) = 7 days.

AI explanation

Sam finishes the remaining work in 9 days, completing 9/24 of the job, which is 3/8. This means they completed 5/8 of the work together before Aditya left. Their combined one day work is 1/21 plus 1/24, which equals 5/56; dividing 5/8 by 5/56 gives 7 days.

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