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 between A and B = 110 km
- Train from A starts at 7 a.m. at 20 km/hr
- Train from B starts at 8 a.m. at 25 km/hr
- Required: meeting time
Step 1: Account for the staggered startBy 8 a.m., the A→B train has already covered 20 × 1 = 20 km.Remaining separation at 8 a.m. = 110 − 20 = 90 km.
Step 2: Use relative speed towards each otherRelative speed = 20 + 25 = 45 km/hrTime after 8 a.m. to meet = 90 ÷ 45 = 2 hours
Final AnswerThey meet at 10:00 a.m.