Moderate

A printing press has two machines. One prints 600 pages/hour, the other 400. How long to print 10,000 pages if both work together?

Correct answer: B. 10

  • A. 8
  • B. 10
  • C. 12
  • D. 15

Explanation

To solve this problem, calculate the combined work rate of both machines. Machine 1 prints 600 pages/hour, and Machine 2 prints 400 pages/hour. Together, they print 600 + 400 = 1000 pages/hour. To determine the time required to print 10,000 pages, divide the total number of pages by the combined rate: 10,000 pages / 1000 pages/hour = 10 hours. Therefore, the correct answer is 10 hours. The other options are incorrect because they either underestimate or overestimate the combined printing rate, leading to incorrect time estimates.

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Logical problems present several conditions about people, objects, events or choices and require their possible arrangements to be tested. They cover constraint-based reasoning, rankings, matching, grouping, scheduling and elimination, with attention to the difference between a complete solution and a possibility that merely satisfies one condition.

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