A and B can complete a piece of work in 21 days. A is 7/4 times as efficient…

2019

A and B can complete a piece of work in 21 days. A is 7/4 times as efficient as B. In how many days can A alone complete 100/3% of the work (i.e., one-third of the work)?

Answer: C. 11Let B's efficiency be 4 units/day, so A's efficiency is 7 units/day. Together, A and B complete 11 units/day and finish the work in 21 days. Total work = 11 ×…

  1. A.

    13

  2. B.

    22

  3. C.

    11

  4. D.

    17

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Correct answer: C

Let B's efficiency be 4 units/day, so A's efficiency is 7 units/day.

Together, A and B complete 11 units/day and finish the work in 21 days.

Total work = 11 × 21 = 231 units.

One-third of the work = 231/3 = 77 units.

Time taken by A alone = 77/7 = 11 days.

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