Question
Train 'A' is 300 meters long and it crosses a pole in
15 seconds and it also passes Train 'B', which is moving in the opposite direction, in 12 seconds. If Train 'B' is 2 times as long as Train 'A', then find the distance travelled by Train B in 30 minutes.Solution
Speed of Train 'A' = 300 Γ· 15 = 20 m/s Length of Train 'B' = 2 Γ 300 = 600 meters Combined length of Train 'A' and 'B' = 300 + 600 = 900 meters Relative speed of train 'A' w.r.t train 'B' when travelling towards each other = 900 Γ· 12 = 75 m/s So, speed of Train 'B' = 75 - 20 = 55 m/s Therefore, distance covered by Train B in 30 minutes = 55 Γ 30 Γ 60 = 99,000 meters = 99 km
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