Two trains, one 120 m long and the other 180 m long, are running in opposite directions at 45 km/hr and 54 km/hr, respectively. How long will they take to cross each other completely? [Give your answer in seconds, correct to one place after decimal.]
10.9 s
When two trains move in opposite directions, their relative speed is the sum of individual speeds.
Relative speed \(= 45 + 54 = 99\) km/hr \(= 99 \times \dfrac{5}{18} = 27.5\) m/s.
Total distance to cover \(= 120 + 180 = 300\) m.
Time taken \(= \dfrac{300}{27.5} = 10.909\ldots\) s \(\approx 10.9\) s.
Hence, the two trains cross each other completely in 10.9 seconds.
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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?
The length of a train and that of a platform are equal. If with a speed of 108 km/hr the train crosses the platform in one minute. Then the length of the train (in metres) is:
A train can cross a pole and a bridge 75 meters long in 10 seconds and 25 seconds respectively. Find the length of the train.
A 275 metre long train crosses a platform of equal length in 33 seconds. What is the speed of the train in kmph?
