'A' can complete a piece of work in 12 days. 'A' and 'B' together can complete…

2023

'A' can complete a piece of work in 12 days. 'A' and 'B' together can complete the same piece of work in 8 days. In how many days can 'B' alone complete the same piece of work ?

  1. A.

    15 days

  2. B.

    18 days

  3. C.

    24 days

  4. D.

    28 days

Attempted by 72 students.

Show answer & explanation

Correct answer: C

Answer: 24 days

Reason:

  • A's work in one day = 1/12.

  • A and B together in one day = 1/8.

  • B's work in one day = (A+B) − A = 1/8 − 1/12 = 1/24.

  • Therefore B alone completes the work in 24 days.

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