Duronto Express moving at 120 km/hr crosses the Hyderabad platform in 20 seconds. Then it crosses a man running at 10 km/hr in the same direction as the train in 10 seconds. What is the length of the Duronto Express and Hyderabad platform?
Question
Duronto Express moving at 120 km/hr crosses the Hyderabad platform in 20 seconds. Then it crosses a man running at 10 km/hr in the same direction as the train in 10 seconds. What is the length of the Duronto Express and Hyderabad platform?
Let the length of train X meters and length of platform Y meters
Relative Speed (Speed of train relative to man) = 120 − 10 = 110 km/hr
Relative Speed in m/sec = 110 x 5/18 = 275/9 m/s
The distance covered by train to cross the man is equal to its length. So, it is = X meters
So, X = Relative Speed x Time (time taken to cross the man)
275/9 * 10 = 2750/9 meters (length of train)
Speed of train in m/s = 120 x 5/18 = 100/3 m/s
Time taken to cross the platform =Apti Problem on trains 61
So, 20= (305.5 + Y)* 3/100
2000 = 916.6 + 3y
3y = 1083.3
y = 361.1 (length of platform)
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Aptitude