Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
Aptitude
Problems on Trains
Difficulty: Medium
Choose an option
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A9:30 a.m.
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B10:00 a.m.
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C10:30 a.m.
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D11:00 a.m.
Answer
Correct Answer: 10:00 a.m.
Explanation
We are given:
- Distance between stations A and B = 110 km
- Train A starts at 7 a.m. at 20 km/h
- Train B starts at 8 a.m. at 25 km/h
Step 1: Distance covered by Train A before Train B startsFrom 7 a.m. to 8 a.m., Train A travels = 20 × 1 = 20 kmRemaining distance = 110 – 20 = 90 km
Step 2: Relative speed after 8 a.m.Relative speed = 20 + 25 = 45 km/h
Step 3: Time taken to meetTime = 90 / 45 = 2 hours
Final Answer:They meet at 8 a.m. + 2 hours = 10 a.m.