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2 typists undertake to do a job. The second typist begins working 1 hour after the first. 3 hours after the first typist has begun working, there is still 9/20 20 of the work to be done. When the assignment is completed, it turns out that each typist has done half the work. How many hours will it take each one to do the job individually? A) 12 and 8 B) 8 and 5.6 C) 10 and 8 D) 5 and 4 Answer is C?
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2 typists undertake to do a job. The second typist begins working 1 ho...
Let's assume that the work to be done is represented by the variable W.

Let's denote the rate at which the first typist works as R1 (in terms of W/hour) and the rate at which the second typist works as R2 (in terms of W/hour).

Let's calculate the amount of work done by the first typist in the first 3 hours:

Work done by the first typist = R1 * 3

According to the question, there is still 9/20 of the work to be done after 3 hours. Therefore, the amount of work done by the first typist in the first 3 hours is:

R1 * 3 = (20/20 - 9/20) * W

Simplifying the equation, we get:

3R1 = 11W/20

Similarly, let's calculate the amount of work done by the second typist in the remaining time:

Work done by the second typist = R2 * (3 + 1) = R2 * 4

According to the question, each typist has done half the work. Therefore, we can write the equation:

R1 * 3 + R2 * 4 = W/2

Substituting the value of R1 * 3 from the previous equation, we get:

11W/20 + R2 * 4 = W/2

Simplifying the equation, we get:

22W + 80R2 = 10W

12W = 80R2

W = (80/12) * R2

Therefore, the time taken by each typist to do the job individually can be calculated as follows:

Time taken by the first typist = W/R1 = (80/12) * R2 / R1

Time taken by the second typist = W/R2 = (80/12)

Since the options are given in terms of hours, we can simplify the time taken as follows:

Time taken by the first typist = (80/12) * (R2 / R1) = (20/3) * (R2 / R1)

Time taken by the second typist = (80/12) = 20/3

Therefore, the answer is option C) 10 and 8.
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2 typists undertake to do a job. The second typist begins working 1 hour after the first. 3 hours after the first typist has begun working, there is still 9/20 20 of the work to be done. When the assignment is completed, it turns out that each typist has done half the work. How many hours will it take each one to do the job individually? A) 12 and 8 B) 8 and 5.6 C) 10 and 8 D) 5 and 4 Answer is C?
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2 typists undertake to do a job. The second typist begins working 1 hour after the first. 3 hours after the first typist has begun working, there is still 9/20 20 of the work to be done. When the assignment is completed, it turns out that each typist has done half the work. How many hours will it take each one to do the job individually? A) 12 and 8 B) 8 and 5.6 C) 10 and 8 D) 5 and 4 Answer is C? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 2 typists undertake to do a job. The second typist begins working 1 hour after the first. 3 hours after the first typist has begun working, there is still 9/20 20 of the work to be done. When the assignment is completed, it turns out that each typist has done half the work. How many hours will it take each one to do the job individually? A) 12 and 8 B) 8 and 5.6 C) 10 and 8 D) 5 and 4 Answer is C? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2 typists undertake to do a job. The second typist begins working 1 hour after the first. 3 hours after the first typist has begun working, there is still 9/20 20 of the work to be done. When the assignment is completed, it turns out that each typist has done half the work. How many hours will it take each one to do the job individually? A) 12 and 8 B) 8 and 5.6 C) 10 and 8 D) 5 and 4 Answer is C?.
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