A, B and C can complete a work in x, 1.5x and 2x days respectively. If they complete the work together, in what ratio should they be paid?

Explanation

Payment is distributed in the ratio of their efficiencies, which is inversely proportional to the time taken. The ratio of time is 1 : 1.5 : 2, or 2 : 3 : 4. The efficiency ratio is \frac{1}{2} : \frac{1}{3} : \frac{1}{4}, which simplifies to 6 : 4 : 3 when multiplied by 12.

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