A can finish a work in 18 days and B can do the same work in half the time…

2024

A can finish a work in 18 days and B can do the same work in half the time taken by A. Then, working together, what part of the same work they can finish in a day?

  1. A.

    1/5

  2. B.

    1\6

  3. C.

    1/9

  4. D.

    1/2

Attempted by 23 students.

Show answer & explanation

Correct answer: B

Answer: 1/6

Step 1: A finishes the work in 18 days, so A's one-day work = 1/18.

Step 2: B takes half the time of A, so B's time = 18/2 = 9 days. B's one-day work = 1/9.

Step 3: Combined one-day work = 1/18 + 1/9 = 1/18 + 2/18 = 3/18 = 1/6.

Therefore, working together they complete 1/6 of the work in one day.

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