Two trains A and B started from stations P and Q respectively towards each other. Train A started at 7 p.m. at a speed of 60 km/hr and train B started at 4 a.m. (next day) at a speed of 90 km/hr. The distance between the two stations P and Q is 800 km.
If the lengths of the two trains A and B are 400 m and 500 m respectively, then what is the time taken by them to cross each other?
This problem involves calculating the time it takes for two trains, A and B, moving towards each other, to cross completely. We are given their starting times, speeds, the distance between their starting stations, and their lengths.
Train A starts earlier than Train B. We need to find out how far Train A travels before Train B begins its journey.
At 4 a.m., when Train B starts, Train A has already covered 540 km from station P towards station Q.
Since the trains are moving towards each other, their speeds add up to give the relative speed at which they approach and cross each other.
To calculate the crossing time accurately, especially since the lengths are given in meters, it's best to convert the relative speed to meters per second (m/s).
For the two trains to completely cross each other, the total distance that needs to be covered at their relative speed is the sum of their individual lengths.
The time taken for the trains to cross each other is the total length required for crossing divided by their relative speed.
Therefore, the time taken by the two trains to cross each other is 21.6 seconds.
Train \(X\) crosses a man standing on the platform in 24 seconds and train \(Y\) crosses a man standing on the platform in 18 seconds. They cross each other while running in opposite directions in 20 seconds. What is the ratio of speed of \(X\) to speed of \(Y\)?
How far from station Q will the two trains meet?
At what time will the two trains meet?
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?