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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:

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$\frac{5}{2}$

$\frac{11}{5}$

$\frac{25}{11}$

$\frac{3}{2}$

answer is D.

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Detailed Solution

Relative velocity when in same direction is v - u. Let the time taken be t₁.

Relative velocity when in opposite direction is v + u. Let the time taken be t₂.

$t_{1} = \frac{x}{v - u} = \frac{x}{50} t_{2} = \frac{x}{v + u} = \frac{x}{110} \frac{t_{1}}{t_{2}} = \frac{11}{5}$

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