A, B and C together can do a work in 4 days, while B alone can do the same…

2024

A, B and C together can do a work in 4 days, while B alone can do the same work in 24 days. If efficiency of C is 300% more than that of B, then find the difference between number of days taken by A and C to complete the work alone?

  1. A.

    18

  2. B.

    12

  3. C.

    11

  4. D.

    15

  5. E.

    20

Attempted by 12 students.

Show answer & explanation

Correct answer: A

B's one-day work is 1/24. C is 300% more efficient than B, so C's rate is 4/24 = 1/6. A + B + C together do 1/4 work per day, so A's rate is 1/4 - 1/24 - 1/6 = 1/24. A takes 24 days and C takes 6 days; the difference is 18 days.

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