Two stations A and B are 100km apart. A passenger train crosses station A travelling at a speed of `50 km//hr`. The train maintains constant speed for 1 hour 48 minute and then the driven applies brakes to stop the train at station B in next 6 minute. Another express train starts from station B at the time the passenger train was crossing station A. The driver of the express train runs the train with uniform acceleration to attain a peak speed `v_(0)`. Immediately after the train attains the peak speed `v_(0)`, he applies breaks which cause the train to stop at station A at the same time the passenger train stops at B. Brakes in both the trains cause uniform retardation of same magnitude. Find the travel time of two trains and `v_(0)`.

Answer

`2.2 hr; 90.9 km//hr`