A’s efficiency is 25% less than B’s efficiency. Working together, they can…
2019
A’s efficiency is 25% less than B’s efficiency. Working together, they can complete a piece of work in 12 days. In how many days will A alone complete the work?
- A.
21
- B.
26
- C.
28
- D.
24
Attempted by 54 students.
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Correct answer: C
A’s efficiency = 25% less than B → A : B = 3 : 4 Together finish in 12 days → (A + B)’s 1 day work = 1/12 ⇒ (3x + 4x) × 12 = 1 → x = 1/84 A alone = 1/(3x) = 28 days