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Q.

A passenger train of length 60 m travels at a speed of $80 k m / h r$ . Another freight train of length 120 m travels at a speed of $30 k m / h r$ . The ratio of times taken by the passenger train to completely cross the freight train when
i) They are moving in the same direction
ii) In the opposite direction is

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a

$\frac{11}{5}$

b

$\frac{5}{2}$

c

$\frac{25}{11}$

d

$\frac{3}{2}$

answer is C.

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Detailed Solution

$\overset{60 m}{\to} 80 k m / h r$
$\underset{120 m}{\to} 30 k m / h r$
Relative speed of passenger train $= v_{1} - v_{2} = 50 k m / h r$
$T_{1} = \frac{t o t a l l e n g t h o f t r a i n =}{r e l a t i v e s p p e d} \frac{180}{50}$
Trains are moving in opposite direction
Relative speed of train $= v_{1} + v_{2} = 110 k m / h r$
$T_{2} = \frac{t o t a l l e n g t h o f t r a i n =}{r e l a t i v e s p e e d} \frac{180}{110}$
$\frac{T_{1}}{T_{2}} = \frac{110}{50} = \frac{11}{5}$

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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 wheni) They are moving in the same directionii) In the opposite direction is