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Q. A train of $200\, m$ long travelling at $50\, m / s$ overtakes another train $130 \,m$ long travelling at $30 \,m / s$. The time taken by the first train to pass the second train is:

Motion in a Straight Line

Solution:

Relative velocity of $1^{\text {st }}$ train w.r.t $2^{\text {nd }}=50-30=20 m / s$
Total distance $=130+200=330$
Time taken $=\frac{330}{20}=16.5$ seconds