The distance between two cities, A and B, is 250 km. A motorcyclist starts from A towards B at 6:30 a.m. at a speed of 40 km/hr. Another motorcyclist starts from B towards A at 8:30 a.m. at a speed of 50 km/hr. At what time will they cross each other?
10:23:20 a.m.
The rider from A leaves at 6:30 a.m. at 40 km/hr, so by 8:30 a.m. (2 hours later) he has already covered \(40 \times 2 = 80\) km.
At 8:30 a.m. the second rider starts from B at 50 km/hr; the remaining gap between the two riders is \(250 - 80 = 170\) km.
They approach each other, so relative speed = \(40 + 50 = 90\) km/hr. Time to meet = \(170/90 = 17/9\) hours = 1 hour 53 minutes 20 seconds.
Adding to 8:30 a.m.: meeting time = 8:30:00 + 1:53:20 = 10:23:20 a.m.
Hence, they cross each other at 10:23:20 a.m.
Similar Questions
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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?
