A can complete 40% of a work in 8 days, while B takes four more days than that…

2025

A can complete 40% of a work in 8 days, while B takes four more days than that of A to complete the same work. Find the time taken by A and B together to complete the same work (in days)?

  1. A.

    7 10/11

  2. B.

    8 10/11

  3. C.

    9 10/11

  4. D.

    10

  5. E.

    10 10/11

Attempted by 12 students.

Show answer & explanation

Correct answer: E

A completes 40% work in 8 days, so A alone takes 20 days. B takes 24 days. Together their rate is 1/20 + 1/24 = 11/120, so time = 120/11 = 10 10/11 days.

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