Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is:
Aptitude
Problems on Trains
Choose an option
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A9
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B9.6
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C10
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D10.8
Answer
Correct Answer: 10.8
Explanation
Step 1: Understand what's given
- Train A length = 140 meters
- Train B length = 160 meters
- Speed of Train A = 60 km/h
- Speed of Train B = 40 km/h
- They are moving in opposite directions on parallel tracks.
Step 2: Use relative speed
Since they are moving in opposite directions, we add their speeds:
Relative speed = 60 + 40 = 100 km/h Convert km/h to m/s: 100 × (1000 / 3600) = 100 × 5/18 = 27.78 m/s
Step 3: Total distance to be covered
They will completely cross each other when they cover the sum of their lengths:
Total distance = 140 + 160 = 300 meters
Step 4: Calculate time
Time = Distance / Speed = 300 / 27.78 ≈ 10.8 seconds
Answer: Approximately 10.8 seconds
Therefore, the two trains will take about 10.8 seconds to completely cross each other.
This is a typical question on trains involving relative speed. Always remember to:
- Convert km/h to m/s when using meters.
- Add speeds when objects move in opposite directions.
- Use total length when two objects need to fully cross each other.