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Question

Two trains, 148 m and 152 m long, are running towards each other on parallel lines at 62 km/h and 46 km/h, respectively. In what time will they be clear of each other from the moment they meet?

The correct answer is

10 sec

Relative speed = 62 + 46 = 108 km/h = 108 × 1000 / 3600 = 30 m/s. The total length of the trains is 148 + 152 = 300 m. Time taken = Distance / Speed = 300 / 30 = 10 sec.

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Important Questions from Problem on Trains

  1. A train with a length of 195 m overtakes a man moving at a speed of 5 km/hr (in the same direction) in 13 seconds. How much time (in seconds) will it take this train to completely cross another train that is 255 m long, moving in the opposite direction at a speed of 76 km/hr?
  2. Train A leaves station M at 8:25 AM and reaches station N at 3:25 PM on the same day. Train B leaves station N at 10:25 AM and reaches station M at 3:25 PM on the same day. Find the time when trains A and B meet.
  3. A train of length 490 m overtakes a man moving at a speed of 9 km/hr (in the same direction) in 12 seconds. How much time (in seconds) will it take this train to completely cross another train that has is 500 m long, moving in the opposite direction at a speed of 42 km/hr?
  4. Train A leaves station M at 7:55 a.m. and reaches station N at 2:55 p.m. on the same day. Train B leaves station N at 9:55 a.m. and reaches station M at 2:55 p.m. on the same day. Find the time when Trains A and B meet.
  5. Train A leaves station M at 6:40 AM and reaches station N at 3:40 PM on the same day. Train B leaves station N at 8:40 AM and reaches station M at 2:40 PM on the same day. Find the time when trains A and B meet.

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