Question
Download Solution PDFTwo trains travelling in opposite directions cross each other in 25 seconds. If the length of both the trains is 250 m each and the speed of one of them is 45 km/hr, what would be the speed of the other train?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Length of both trains = 250 m each.
Time taken to cross each other = 25 seconds.
Speed of one train = 45 km/hr.
Formula Used:
Total relative speed = (Combined length of both trains) / (Time taken to cross).
Speed of the other train = Total relative speed - Speed of one train.
Note: Convert speed from km/hr to m/s using the formula: 1 km/hr = 5/18 m/s.
Calculation:
Length of both trains combined = 250 + 250 = 500 m.
Relative speed = Total length / Time
Relative speed = 500 / 25
Relative speed = 20 m/s
Convert speed of the first train from km/hr to m/s:
Speed of the first train = 45 × (5 / 18)
Speed of the first train = 12.5 m/s
Speed of the other train = Relative speed - Speed of the first train
⇒ Speed of the other train = 20 - 12.5
⇒ Speed of the other train = 7.5 m/s
Convert speed back to km/hr:
Speed of the other train = 7.5 × (18 / 5)
Speed of the other train = 27 km/hr
The speed of the other train is 27 km/hr.
Last updated on Jul 8, 2025
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