A long-distance train is scheduled to reach its destination in . After of journey, due to disruption of rail traffic, the train has to be stationed for . If the average speed of the train is , at what speed should it travel to cover the distance in same amount of time?
Step : Compute the remaining distance.
Given: Total time, average speed
Since, total distanceSpeedTime
total distance
total distance\
Distance covered by train in hours is
Distance covered
Distance covered
Therefore, remaining distance
remaining distance
Step : Compute the remaining time.
Given: the train has to be stationed for .
Therefore, remaining time
remaining time
Step : Compute the required speed.
Since, the train should cover the distance in the same amount of time.
Therefore the speed of the train has to be changed.
So, required speed [ Total distance Speed Time ]
required speed
Hence, in order to complete the journey at the same time the train should achieve a speed of .