Discussion
A train 140m long running at 60kmph. In how much time will it pass a platform 260m long?
Answer: B
The train passes the platform in 24 sec.
To pass the platform completely, the train covers its own length plus the platform's: \(140 + 260 = 400\) m. Convert the speed to metres per second:
\[ \begin{aligned} 60\ \text{km/h} &= 60 \times \frac{5}{18} = \frac{50}{3}\ \text{m/s} \\ \text{time} &= 400 \div \frac{50}{3} = 24\ \text{s} \end{aligned} \]
Using only the platform's 260 m would give 15.6 s, and only the train's 140 m gives 8.4 s; neither is offered, and 36, 44 and 58 s do not follow from the 400 m distance.
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