Discussion
A train takes 20 seconds to pass completely through a station 160 m long and 15 seconds through another station 110 m long. Find the length of the train.
Answer: D
Each crossing covers the train's length plus the station's.
\[ L + 160 = 20v, \qquad L + 110 = 15v \]
Subtracting:
\[ 50 = 5v \quad\Longrightarrow\quad v = 10 \text{ m/s} \]
\[ L = 20 \times 10 - 160 = 40 \text{ m} \]
Subtracting the two equations eliminates the unknown length in one step.
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