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

Question

A passenger train of length 60 m travels at a speed of 80 km/hr. Another freight train of length 120 m travels at a speed of 30 km/hr. The ratio of times taken by the passenger train to completely cross the freight train when: (i) they are moving in the same direction, and (ii) in the opposite directions is : (A) 5/2 (B) 25/11 (C) 3/2 (D) 11/5

Tardigrade Admin · Accepted Answer

t 1=( x / v - u )=( x /50) t 2=( x / v + u )=( x /100) ( t 1/ t 2)=(11/5)

5/2

25/11

3/2

11/5

t1​=v−ux​=50x​ t2​=v+ux​=100x​ t2​t1​​=511​

$t_{1} = \frac{x}{v - u} = \frac{x}{50}$
$t_{2} = \frac{x}{v + u} = \frac{x}{100}$
$\frac{t _{1}}{t _{2}} = \frac{11}{5}$