Discussion
Two trains are moving in the same direction at 72 kmph and 36 kmph. The faster train crosses a man in the slower train in 27 seconds. Find the length of the faster train?
Answer: A
Trains in the same direction close at the difference of their speeds; in opposite directions, at the sum.
\[ 1 \text{ kmph} = \frac{5}{18} \text{ m/s} \]
Crossing a man in the other train covers only the faster train's length.
\[ \text{relative speed} = 72 - 36 = 36 \text{ kmph} = 10 \text{ m/s} \]
\[ L = 10 \times 27 = 270 \text{ m} \]
The slower train's own length is irrelevant, since the reference point is a single person.
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