Question : Two trains A and B having the lengths 195 m and 165 m, respectively, are running in the same direction on parallel lines. If the speeds of A and B are 77 km/h and 85 km/h, respectively, what will be the time (in seconds) taken by them to cross each other?
Option 1: 162
Option 2: 164
Option 3: 160
Option 4: 166
Correct Answer: 162
Solution : According to the question, Both the trains are running in the same direction then their relative speed will be, Relative speed = Speed of B – Speed of A = 85 km/h - 77 km/h = 8 km/h or $\frac{20}{9}$ m/s Total distance to cross each other = 195 m + 165 m = 360 m Now to calculate the total time, Time = $\frac{\text{Distance}}{\text{Speed}}$ = $\frac{360}{\frac{20}{9}}$ = $\frac{360 \times 9}{20}$ = 162 sec ∴ The time taken by trains to cross each other will be 162 sec. Hence, the correct answer is 162.
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Question : Two trains of lengths 200 m and 250 m are running on parallel rail tracks at speeds of 68 km/hr and 50 km/hr, respectively. In how much time (in seconds) will they cross each other if they are running in the same direction?
Option 1: 90
Option 2: 85
Option 3: 80
Option 4: 75
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 : Two trains, 80 m and 120 m long, are running at the speeds of 25 km/hr and 35 km/hr, respectively in the same direction on parallel tracks. How many seconds will they take to pass each other?
Option 1: 48
Option 2: 64
Option 3: 70
Option 4: 72
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 start from Delhi and Poona towards each other at 7 a.m. with speeds of 85 km/hr and 67km/hr, respectively. If they cross each other at 3.30 p.m., the distance between the stations is:
Option 1: 1245 km
Option 2: 1292 km
Option 3: 1283 km
Option 4: 1227 km
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