Discussion

A is twice as good a workman as B, and together they finish a piece of work in 12 days. In how many days can A alone finish it ?

Answer: C

Correct answer: 18 days

Let B do 1 unit of work a day, so A does 2 and together they do 3.

\[\text{Total work} = 3 \times 12 = 36 \text{ units}\]

\[\text{A alone} = \frac{36}{2} = 18 \text{ days}\]

B alone would take 36 days, twice as long, as the ratio of ability requires.

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