🧠 GRE Exam Prep

Machine A can complete a task in 3 hours. Machine B can complete the same task in 6 hours. If both machines work together at their constant rates, how many hours will it take them to complete the task?

A 1.5 hours
B 2 hours
C 2.5 hours
D 3 hours

✓ Correct Answer: Option B

Machine A's rate is 1/3 task per hour. Machine B's rate is 1/6 task per hour. Their combined rate is (1/3) + (1/6) = (2/6) + (1/6) = 3/6 = 1/2 task per hour. To complete 1 task, the time required is 1 / (1/2) = 2 hours.

💡 Why is B) the correct answer?

The correct answer to the question "Machine A can complete a task in 3 hours. Machine B can complete the same task in 6 hours. If both machines work together at their constant rates, how many hours will it take them to complete the task?" is Option B: 2 hours.

The other options — A) 1.5 hours, C) 2.5 hours, D) 3 hours — are incorrect for this GRE Exam Prep question. As explained above: Machine A's rate is 1/3 task per hour. Machine B's rate is 1/6 task per hour. Their combined rate is (1/3) + (1/6) = (2/6) + (1/6) = 3/6 = 1/2 task per hour. To complete 1 task, the time required is …

📚 About This GRE Exam Prep Practice Question

This 3-level GRE Exam Prep question from the Quantitative Reasoning topic is part of BrainForge Quiz's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free GRE Exam Prep practice test or use flashcards for spaced repetition review.

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