Question
Download Solution PDFTwo trains of same length are running on parallel tracks in opposite directions with speeds of 54 km/h and 90 km/h respectively. They cross each other in 12 sec. Find the length (in metres) of each train.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven data:
Speed of first train: 54 km/h
Speed of second train: 90 km/h
Time taken to cross each other: 12 seconds
Concept: The combined length of two trains equals the relative speed multiplied by the time taken to cross each other.
⇒ Convert speeds from km/h to m/s (multiply by 5/18): 15 m/s and 25 m/s
⇒ Relative speed = 15 + 25 = 40 m/s
⇒ Combined length of trains = 40 m/s x 12 seconds = 480 metres
⇒ Length of each train = 480 metres / 2 = 240 metres
Therefore, the length of each train is 240 metres.
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