A long-distance train is scheduled to reach its destination in hours. After hours of journey, due to disruption of rail traffic, the train has to be stationed for hour. If the average speed of the train is km/hr, at what speed should it travel to cover the distance in same amount of time?
Step 1: Finding total distance travelled in hours
Total journey time = hours
The train has completed a -hour journey.
The average speed of train is .
So, the total distance in hours at a speed of is
Step 2: Finding new average speed.
The train has moved for hours.
So it has completed a distance in hours
Due to rail traffic it had to wait for few hours
So the train completed the distance of in .
Remaining distance
Remaining times
New average speed
Hence, the train had to move with a speed of to complete the journey in the same time (to cover the delay).