Question
Download Solution PDFTwo trains having lengths of 150 m and 350 m are running at speeds of 60 km/h and 120 km/h, respectively, in the same direction. The time taken (in minutes) by the faster train, coming from behind, to completely cross the other train is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Length of the first train = 150 m
Length of the second train = 350 m
Speed of the first train = 60 km/h
Speed of the second train = 120 km/h
Formula used:
Relative speed = Speed of faster train - Speed of slower train (when moving in the same direction)
Time taken to cross = Total length / Relative speed
Calculation:
Relative speed = 120 - 60 = 60 km/h
Convert speed to m/s: 60 × (1000 / 3600) = 50/3 m/s
Total length = 150 + 350 = 500 m
⇒ Time taken = Total length / Relative speed
⇒ Time taken = 500 / (50/3)
⇒ Time taken = 500 × (3/50)
⇒ Time taken = 30 seconds
Convert seconds to minutes: 30 / 60 = 0.5 minutes
∴ The correct answer is option (3).
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