A passenger sitting in a train A moving at \(90\,km / h\) observes another train \(B\) moving in the opposite direction for \(8\,s\). If the velocity of the train \(B\) is \(54\,km / h\), then length of train \(B\) is \(..........\,m\)

\(V _{ A }=90 \frac{ km }{ hr }=90 \times \frac{5}{18}=25\,m / s\)

Velocity of train \(B\)

\(V _{ B }=54 \frac{ km }{ hr }=54 \times \frac{5}{18}=15\,m / s\)

Velocity of train B w.r.t. \(\operatorname{train} A=\overrightarrow{ V }_{ B }-\overrightarrow{ V }_{ A }\)

\(=15-(-25)\,m / s\)

\(=40\,m / s\)

\(\text { Time of crossing }=\frac{\text { length of train }}{\text { relative velocity }}\)

\((8)=\frac{\ell}{40}\)

\(\ell=8 \times 40=320 \text { meter. }\)