Question

An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bangalore (without taking into consideration the time they stop at intermediate stations). If the average speed of the express train is 11 kin/hr more than that of the passenger train, find the average speeds of the two trains.

Answer 1

Let the speed of the passenger train be x km/hr
Given that the average speed of the express train is 11 km/hr more than that of a passenger train.

Given that, express train takes 1 hour less than that of passenger train to reach the destination.

Since speed cannot be in negative values. So, x = 33
∴ Average speed of the slower train i.e. passenger train = 33 km/hr

And average speed of express train = (x + 11) km/hr = (33 + 11) km/hr = 44 km/hr.​