Question : Two trains 121 m and 99 m in length, respectively, are running in opposite directions, one at a speed of 40 km/hr and the other at a speed of 32 km/hr. At what time will they be completely clear of each other from the moment they meet?
Option 1: 11 sec
Option 2: 12 sec
Option 3: 13 sec
Option 4: 10 sec
Correct Answer: 11 sec
Solution : When two trains run in opposite directions, their relative speed is the sum of their speeds. The length of the two trains is 121 m and 99 m. The total length = 121 m + 99 m = 220 m The relative speed of the trains = (40 km/hr + 32 km/hr) × $\frac{5}{18}$ m/s = 20 m/s Time taken to cross each other = $\frac{\text{Sum of the length of the trains}}{{\text{Relative speed}}}$ The time it takes for the trains to be completely clear of each other = $\frac{220}{20}$ = 11 sec Hence, the correct answer is 11 sec.
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Question : A train 270 m long, is running at a speed of 36 km/hr, then it will cross a bridge of length 180 m in:
Option 1: 40 sec
Option 2: 45 sec
Option 3: 50 sec
Option 4: 35 sec
Question : Two trains running in opposite directions on parallel tracks, at speeds of 42 km/hr and 57 km/hr, take 18 seconds to cross each other. If the length of one train is 270 m, then the length of the other train is:
Option 1: 250 m
Option 2: 225 m
Option 3: 230 m
Option 4: 242 m
Question : Two trains A and B start running at 80 km/hr and 82 km/hr towards each other from two different stations. They meet after 1 hour and 30 minutes. How far were they from each other when they started?
Option 1: 190 km
Option 2: 262 km
Option 3: 243 km
Option 4: 224 km
Question : Two trains Mumbai Rajdhani and Kissan Express of lengths 850 m and 700 m are 1050 m apart and are running on parallel tracks towards each other. Mumbai Rajdhani is running at 62 km/hr and Kissan Express is running at 55 km/hr. In how much time (in sec) will the trains cross each other?
Option 1: 70
Option 2: 45
Option 3: 75
Option 4: 80
Question : A train crosses two persons travelling at 4 km/hr and 6 km/hr in the same direction in 12 sec and 14 sec, respectively. The speed of the train is ________.
Option 1: 18 km/hr
Option 2: 26 km/hr
Option 3: 20 km/hr
Option 4: 24 km/hr
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