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Two trains, 165 m and 175 m long run at the speed of 50 km/h and 52 km/h respectively in opposite directions on parallel tracks. What is the time (in seconds) they take to cross each other?
  • a)
    9
  • b)
    9.6
  • c)
    10
  • d)
    12
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Two trains, 165 m and 175 m long run at the speed of 50 km/h and 52 k...
Relative speed = (50 + 52) km/h = (102 x 5/18) m/s = (255/9) m/s.
Distance covered in crossing each other = (165 + 175) = 340 m.
∴ Required time = (340 x 9/255) = 12 s.
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Most Upvoted Answer
Two trains, 165 m and 175 m long run at the speed of 50 km/h and 52 k...
Crossing of Two Trains

Given:
1. Length of first train = 165 m
2. Length of second train = 175 m
3. Speed of first train = 50 km/h
4. Speed of second train = 52 km/h

To Find: Time taken by the trains to cross each other

Approach:

When two trains cross each other, the total distance they cover is the sum of their lengths. The relative speed of the two trains is the sum of their speeds. We can use these two parameters to find the time taken by the trains to cross each other.

Let's assume that the two trains are moving towards each other and will cross each other at some point. We need to find the time taken by them to cover their respective distances.

Calculation:

Total distance covered = Length of first train + Length of second train
= 165 m + 175 m
= 340 m

Relative speed of the two trains = Speed of first train + Speed of second train
= (50 km/h + 52 km/h) * (5/18) m/s
= 102 * (5/18) m/s
= 85/3 m/s

Time taken to cross each other = Distance / Relative speed
= 340 m / (85/3) m/s
= 12 seconds

Therefore, the time taken by the two trains to cross each other is 12 seconds.
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Two trains, 165 m and 175 m long run at the speed of 50 km/h and 52 km/h respectively in opposite directions on parallel tracks. What is the time (in seconds) they take to cross each other?a)9b)9.6c)10d)12Correct answer is option 'D'. Can you explain this answer?
Question Description
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