If Printers A, B, and C collaborate, they can finish a specific printing task in 12 hours. Printer A can accomplish the task alone in 36 hours, while Printer B takes twice as long as Printer C to complete the same job individually. How long would Printer C need to finish the printing job by themselves?

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Explanation

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Official Explanation

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Let the job equal the least common multiple of the answer choices, which is 216 pages. The combined rate for A, B, and C is

= \frac{work}{time} = \frac{216}{12} =

18 pages per hour. The rate for A alone is

= \frac{work}{time} = \frac{216}{36} =

6 pages per hour. Therefore, the combined rate for B and C is (rate for A, B, and C) - (rate for A) = 18 - 6 = 12 pages per hour. We can test the answer choices to find C's time alone. Since…

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Comments

RadhikaNov 5, 2024

Thank you very much!

What this question tests

What it tests

Your ability to combine individual work rates, usually by working with the fraction of a job completed per unit of time.

Common trap

Adding the times instead of the rates, or forgetting to take the reciprocal when combining rates.