Discussion
A 240-metre-long train crosses a 300-metre-long platform in 27 seconds. What is the speed of the train in kmph?
Answer: C
The speed of the train is 72 kmph.
To cross a platform, the train must cover its own length plus the platform's:
\[ \begin{aligned} v &= \frac{240 + 300}{27} = 20\ \text{m/s} \\ &= 20 \times \frac{18}{5} = 72\ \text{km/h} \end{aligned} \]
Using only the platform length gives \(300/27 \times 18/5 = 40\) km/h, and only the train's length gives 32 km/h, neither listed. 66, 60 and 64 do not follow from the total distance.
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