Question
Download Solution PDFIf a train takes 1 second to cross a telegraph post and 3 seconds to cross a platform 300 metres long then the length of the train (in metres) is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The train takes 1 second to cross a telegraph post and 3 seconds to cross a platform 300 metres long.
Concept used:
1. While a train crosses a platform, it crosses the sum of its length and the length of the platform.
2. While a train crosses a telegraph post, it crosses its own length.
3. Distance = Speed × Time
Calculation:
Let the length and speed of the train be L metres and S m/s respectively.
According to the concept,
S × 1 = L
⇒ S = L ....(1)
3S = (L + 300)
⇒ 3L = L + 300 (From 1)
⇒ 2L = 300
⇒ L = 150
∴ The length of the train is 150 metres.
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