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Machine X can produce 40 widgets per hour. Machine Y can produce 25% fewer widgets per hour than Machine X. Working together, how many hours will it take both machines to produce 390 widgets?

GMAT · 2022 · Quantitative
Question:
Machine X can produce 40 widgets per hour. Machine Y can produce 25% fewer widgets per hour than Machine X. Working together, how many hours will it take both machines to produce 390 widgets?

Options

(A) 4 hours
(B) 5 hours
(C) 6 hours
(D) 7 hours
(E) 8 hours
Answer: (C) 6 hours

Explanation:
Machine X: 40 per hour. Machine Y: 40 × 0.75 = 30 per hour. Combined: 70 per hour. Time = 390/70 = 39/7 ≈ 5.57 hours, closest to 6 hours. Actually 390/70 = 39/7 = 5.571..., which rounds to 6.

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