A is 25 percent more efficient than B. If together they can complete a piece…

2024

A is 25 percent more efficient than B. If together they can complete a piece of work in 50 days. In how many days A working alone can complete the work ?

  1. A.

    90

  2. B.

    180

  3. C.

    50

  4. D.

    150

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Show answer & explanation

Correct answer: A

Let B's daily work be 100 units. Since A is 25% more efficient, A's daily work is 125 units.

Combined daily work = 100 + 125 = 225 units.

Total work in 50 days = 50 × 225 = 11,250 units.

Time for A alone = 11,250 / 125 = 90 days.

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