A man is walking at 4 km/hr. A 180 m long train crosses him in 12 seconds while coming from the opposite direction. What is the speed of the train (in km/hr)?
50
Since the train and the man are moving in opposite directions, their relative speed is the sum of their individual speeds.
The train crosses the man in 12 seconds, covering a distance equal to the train's length, 180 m.
Relative speed \(= \frac{180}{12} = 15\) m/s.
Convert to km/hr: \(15 \times \frac{18}{5} = 54\) km/hr.
This relative speed equals (speed of train + speed of man): \(v_{\text{train}} + 4 = 54\).
Therefore, \(v_{\text{train}} = 54 - 4 = 50\) km/hr.
Hence, the speed of the train is 50 km/hr.
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Important Questions from Problem on Trains
Eight railway stations A, B, C, D, E, F, G and H are connected either by two-way passages or one-way passages. One-way passages are from C to A, E to G, B to F, D to H, G to C, E to C and H to G. Two-way passages are between A and E, G and B, F and D, and E and D.
If the route between G and C is closed, which one of the following stations need not be passed through while travelling from H to C?
A daily train is to be introduced between station A and station B starting from each end at 6 AM and the journey is to be completed in 42 hours. What is the number of trains needed in order to maintain the Shuttle Service?
A train with a uniform speed passes a 122 meters long platform in 17 seconds and a 210 meters long bridge in 25 seconds. The speed of the train is:
How long does a train 153 meters long running at the rate of 90 kmph take to cross a bridge 622 meters in length?
A train passes a 360 metre long platform in 40 seconds and a man standing on the platform in 16 seconds. The speed of the train is:
