Discussion
A train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. In what time will the train cross a bridge 1.5 km long?
Answer: B
\[ 1 \text{ kmph} = \frac{5}{18} \text{ m/s} \]
The whole train is the engine plus 24 carriages, each 60 m:
\[ 25 \times 60 = 1500 \text{ m} \]
\[ 60 \text{ kmph} = \frac{50}{3} \text{ m/s} \]
\[ t = \frac{1500 + 1500}{50/3} = \frac{3000 \times 3}{50} = 180 \text{ s} = 3 \text{ minutes} \]
The engine counts as a twenty-fifth 60 m unit, and the bridge's 1.5 km must be converted to 1500 m.
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