The question is from Time and Work: Typing pages. Some details about a completed task are given and we need to determine who is efficient among them?

Question 22: A certain number of pages need to be typed. A, B and C are assigned to do this job. However, C leaves after 4 days when 40% of the job was complete. In this way, it takes 13 days to finish the job. Also, B can type twice as fast as A. How much would the fastest worker take to type the entire set of pages alone?

- 22.5 days
- 45 days
- 30 days
- 20 days

22.5 days

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A and B take 9 days to complete the remaining 60% of the job.

Therefore, in one day A and B can complete – \\frac{60}{9}\\) = \\frac{20}{3}\\) of the job

Since B is twice as fast as A,

B can finish = \\frac{20}{3}\\) * \\frac{2}{3}\\) = \\frac{40}{9}\\) of the job in a day

A can finish = \\frac{20}{3}\\) * \\frac{1}{3}\\) = \\frac{20}{9}\\) of the job in a day

In the first 4 days. A and B would have finished = \\frac{20}{3}\\) * 4 = \\frac{80}{3}\\) of the job

Therefore, C would have finished = 40 % - \\frac{80}{3}\\) = \\frac{40}{3}\\) of the job in 4 days

So, in a day C finishes = \\frac{40}{12}\\) of the job

Thus, clearly B is the fastest among the three workers

The question is **"How much would the fastest worker take to type the entire set of pages alone?"**

Choice A is the correct answer.

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