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:

Engineering

Physics

Relative Motion

Question

$\frac{3}{2}$

$\frac{11}{5}$

$\frac{5}{2}$

$\frac{25}{11}$

LiveFree JEE Main Previous Year Online Papers Live Free JEE Advance Previous Year Online Papers

College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

Time taken if both movbing in same direction

$t_{1} = \frac{distance}{speed} = \frac{0 .12 + 0 .06}{80 - 30} = \frac{0 .18}{50}$

Time taken if moving in opposite direction.

$t_{2} = \frac{distance}{speed} = \frac{0 .12 + 0 .06}{80 + 30} = \frac{0 .18}{110}$

$\frac{t_{1}}{t_{2}} = \frac{11}{5}$