Question
Two trains having lengths of 210 m and 140 m are running
at speeds of 80 km/h and 150 km/h, respectively, in the same direction. The time taken (in minutes) by the faster train, coming from behind, to completely cross the other train is:Solution
Lengths: 210 m, 140 m Total distance = 210 + 140 = 350 m Speeds: 80 km/h = 200/9 m/s 150 km/h = 125/3 m/s Relative speed = (125/3 − 200/9) m/s = (375 − 200)/9 = 175/9 m/s Time = 350 ÷ (175/9) = 350 × 9 / 175 = 18 seconds Time in minutes = 18 / 60 = 0.3 minutes
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