Question

A passenger train of length 60 m travels at a speed of $80km/hr$. Another freight train of length $120m$ travels at a speed of $30km/hr$. The ratio of times taken by the passenger train to completely cross the freight train when: (1)they are moving in the same direction, and (ii) in the opposite directions is____?

• A. $\frac{5}{2}$
• B. $\frac{25}{11}$
• C. $\frac{3}{2}$
• D. $\frac{11}{5}$

Answer 1

The correct option is D $\frac{11}{5}$

$t_1=\frac{x}{v-u}=\frac{x}{50}$

$t_2=\frac{x}{v+u}=\frac{x}{100}$

$\frac{t_1}{t_2}=\frac{11}{5}$