Question
Download Solution PDFTwo trains running in the same direction at 110 km/h and 90 km/h completely pass one another in 54 sec. If the length of the first train is 130 metres, then find the length of the second train.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven data:
Speed of first train: 110 km/h
Speed of second train: 90 km/h
Time taken to cross each other: 54 seconds
Length of first train: 130 meters
Concept: The length of the second train equals the relative speed multiplied by the time taken to cross each other, minus the length of the first train.
Calculation:
⇒ Convert speeds from km/h to m/s (multiply by 5/18): 30.56 m/s and 25 m/s
⇒ Relative speed = 30.56 - 25 = 5.56 m/s
⇒ Length of second train = 5.56 m/s x 54 seconds - 130 metres = 170 metres
Therefore, the length of the second train is 170 metres.
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