A train can cover a certain distance in 3 hrs. If the track management is improved, an increase in the speed of the train by 10 km/h is possible, which can reduce the above journey time by 30 minutes. Find the initial speed of the train.

50 km/h

Ratio of ,         Initial  :  Final

Time                    3    :    2.5

Time                    6    :     5

Speed                  5     :    6

( Speed is inversely proportional to Time)

According to question ,

( 6 - 5 )R = 10 km/h

1R = 10 km/h

5R = 5 × 10 = 50 km/h

So , Initial Speed is 50 km/h