Question
Download Solution PDFA train travelling at a uniform speed, clears a platform 240 meters long in 10 seconds and passes a telegraph post in 6 seconds. Find the length of the train and its speed.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A train travelling at a uniform speed, clears a platform 240 meters long in 10 seconds and passes a telegraph post in 6 seconds.
Formula used:
Speed = Distance / Time
Length of the train = Speed × Time taken to pass the telegraph post
Calculation:
Let the length of the train be L meters and its speed be S meters/second.
When passing the platform:
⇒ Distance = L + 240 meters
⇒ Time = 10 seconds
⇒ Speed, S = (L + 240) / 10
When passing the telegraph post:
⇒ Distance = L meters
⇒ Time = 6 seconds
⇒ Speed, S = L / 6
Equating both expressions for speed:
⇒ (L + 240) / 10 = L / 6
⇒ 6(L + 240) = 10L
⇒ 6L + 1440 = 10L
⇒ 1440 = 4L
⇒ L = 360 meters
Speed, S = L / 6 = 360 / 6 = 60 meters/second
Speed in km/hr = 60 × 18/5 = 216 km/hr
∴ The correct answer is option 4.
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