Two trains of lengths 450 m and 550 m are moving in the same direction with speeds 50 km/h and 30 km/h respectively. Find the time taken by them to cross each other.
5 minutes
Incorrect Answer4 minutes
Incorrect AnswerNone of the above
Incorrect AnswerExplanation:
- Two trains are moving in the same direction with speeds of 50 km/h and 30 km/h.
- The relative speed is the difference in their speeds: \(50 - 30 = 20 \text{ km/h}\).
- Convert the relative speed to meters per second: \((20 \times \frac{1000}{3600} \approx 5.56 \text{ m/s})\).
- Total length to cross is 450 m + 550 m = 1000 m.
- Time taken to cross each other = \(\frac{1000}{5.56} \approx 180 \text{ seconds}\).
- Convert seconds to minutes: 180 seconds = 3 minutes.
- Correct Answer: Option 1, 3 minutes
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