Model 2 Train Vs Train in opposite direction Practice Questions Answers Test with Solutions & More Shortcuts

Question : 26 [SSC CGL Prelim 1999]

Two men are standing on opposite ends of a bridge 1200 metres long. If they walk towards each other at the rate of 5m/minute and 10m/minute respectively, in how much time will they meet each other ?

a) 80 minutes

b) 85 minutes

c) 90 minutes

d) 60 minutes

Answer: (a)

Using Rule 6,
Let 'a' metre long train is running with the speed 'x' m/s. A man is running in the opposite direction of train with the speed of 'y' m/s. Then, time taken by the train to cross the man = $(a/{(x + y)})$seconds.

Men are walking in opposite directions.

Hence, they will cover the length of bridge at their relative speed.

Required time

= $1200/{(5 + 10)}$ = 80 minutes

Question : 27 [SSC CGL Prelim 2007]

Two trains 105 metres and 90 metres long, runs at the speed of 45 km/hr and 72 km/hr respectively, in opposite directions on parallel tracks. The time which they take to cross each other, is

a) 6 seconds

b) 7 seconds

c) 5 seconds

d) 8 seconds

Answer: (a)

Using Rule 3,

Length of both trains

= 105 + 90 = 195 m.

Relative speed

= (45 + 72) = 117 kmph

= 117 × $5/18$ or $65/2$ m/sec.

Time taken = $195/{65/2}$

= ${195 × 2}/65$ = 6 seconds

IMPORTANT quantitative aptitude EXERCISES

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