Question:
A man sitting in a train which is traveling at 40 kmph observes that a goods train, traveling in opposite direction, takes 9 seconds to pass him. If the goods train is 270 m long, find its speed.
A man sitting in a train which is traveling at 40 kmph observes that a goods train, traveling in opposite direction, takes 9 seconds to pass him. If the goods train is 270 m long, find its speed.
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Relative speed of trains moving in opposite directions is the sum of their speeds.
Updated On: Jul 3, 2026
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The Correct Option is B
Solution and Explanation
Step 1: Since the trains move in opposite directions, relative speed equals the sum of both speeds.
Step 2: Relative speed = distance / time = \(270/9 = 30\) m/s.
Step 3: Convert to km/h: \(30 \times 18/5 = 108\) km/h.
Step 4: Speed of goods train = \(108 - 40 = 68\) km/h.
Step 2: Relative speed = distance / time = \(270/9 = 30\) m/s.
Step 3: Convert to km/h: \(30 \times 18/5 = 108\) km/h.
Step 4: Speed of goods train = \(108 - 40 = 68\) km/h.
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