Question
Download Solution PDFA 375 m long train crosses a man walking at a speed of 10.2 km/h in the opposite direction in 15 seconds. What is the speed (in km/h) of the train?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Length of train (L) = 375 m = 0.375 km
Speed of man (Sm) = 10.2 km/h
Time taken (t) = 15 seconds
Formula used:
Speed of train relative to man = Distance / Time
Relative speed (Sr) = Speed of train (St) + Speed of man (Sm)
Calculation:
Relative speed (Sr) = Distance / Time
⇒ Sr = 375 / 15 = 25 m/s
⇒ Sr = 25 × 18/5 = 90 km/h
Speed of train (St) = Relative speed (Sr) - Speed of man (Sm)
⇒ St = 90 - 10.2
⇒ St = 79.8 km/h
∴ The correct answer is option (3).
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