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
Given Data
- Distance AB = 110 km
- A→B train: 20 km/hr starting 7 a.m.
- B→A train: 25 km/hr starting 8 a.m.
Step 1: Staggered startBy 8 a.m., A→B train covers 20 × 1 = 20 km.Remaining distance at 8 a.m. = 110 − 20 = 90 km.
Step 2: Relative speed towards each othervrel = 20 + 25 = 45 km/hrTime after 8 a.m. = 90 ÷ 45 = 2 h
Final AnswerMeet at 10:00 a.m.