Two trains start at the same time from two stations and proceed towards each other at speeds 88 km/h and 75 km/h, respectively. When they meet, it is found that one train has travelled 65 km more than the other. What is the distance (in km) between the two stations?
815
The difference in distance travelled (\(d_1 - d_2\)) is also related to the difference in speeds and the time: $$ d_1 - d_2 = v_1 t - v_2 t = (v_1 - v_2)t $$ We used this relationship \((88 - 75)t = 13t = 65\) to find \(t\). This shows that the two methods are consistent. The final answer is 815 km.
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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:
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:
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:
