Machine A can produce 100 widgets in 5 hours. Machine B can produce 100 widgets in 4 hours. If they work together, how many hours will it take to produce 225 widgets?

A 3 hours

B 4 hours

C 5 hours

D 6 hours

✓ Correct Answer: Option C

Machine A's rate = 100/5 = 20 widgets/hour. Machine B's rate = 100/4 = 25 widgets/hour. Combined rate = 20 + 25 = 45 widgets/hour. Time = Total widgets / Combined rate = 225 / 45 = 5 hours.

💡 Why is C) the correct answer?

The correct answer to the question "Machine A can produce 100 widgets in 5 hours. Machine B can produce 100 widgets in 4 hours. If they work together, how many hours will it take to produce 225 widgets?" is Option C: 5 hours.

The other options — A) 3 hours, B) 4 hours, D) 6 hours — are incorrect for this GRE Exam Prep question. As explained above: Machine A's rate = 100/5 = 20 widgets/hour. Machine B's rate = 100/4 = 25 widgets/hour. Combined rate = 20 + 25 = 45 widgets/hour. Time = Total widgets / Combined rate = 225 / 45 = 5 hours.

📚 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.

Practice GRE Exam Prep Quizzes → Browse All Questions Study Flashcards

Machine A can produce 100 widgets in 5 hours. Machine B can produce 100 widgets in 4 hours. If they work together, how many hours will it take to produce 225 widgets?

✓ Correct Answer: Option C

📚 About This GRE Exam Prep Practice Question

Related GRE Exam Prep Questions