A passenger train of length 60m travels at a speed of 80km / hr ....

A passenger train of length

60m

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: (i) they are moving in the same direction, and (ii) in the opposite directions is:

Options

A $\dfrac{5}{2}$
B $\dfrac{3}{2}$
C $\dfrac{11}{5}$
D $\dfrac{25}{11}$

Correct answer

C. $\dfrac{11}{5}$

Step-by-step solution

{t}_{1} = \dfrac{2\left(60\right) + 120}

{

\left(80 - 30\right)}

{t}_{2} = \dfrac{2\left(60\right) + 120}{80 + 30}

\dfrac{{t}_{1}}{{t}_{2}} = \dfrac{11}{5}

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