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Two trains, 200 meters and 150 meters long, are moving toward each other at speeds of 72 km/h and 90 km/h respectively. How long will it take for them to completely cross each other?

GMAT · 2021 · Quantitative
Question:
Two trains, 200 meters and 150 meters long, are moving toward each other at speeds of 72 km/h and 90 km/h respectively. How long will it take for them to completely cross each other?

Options

(A) 7 seconds
(B) 7.5 seconds
(C) 7.78 seconds
(D) 8 seconds
(E) 8.5 seconds
Answer: (C) 7.78 seconds

Explanation:
Total distance to cover = 200 + 150 = 350 meters. Relative speed = 72 + 90 = 162 km/h = 162 × (5/18) = 45 m/s. Time = 350/45 = 70/9 ≈ 7.78 seconds.

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