Let the usual speed of the train be s and time taken at that speed be 't'. Given by travelling at s/3, it reached 30 min late. Hence the usual time: Distance travelled =s×t Distance travelled in the first 5min=s×t/3.D Distance to be travelled in the last 6min=2st/3 Required speed to cover that distance on time =
2st/3
2t/5
i.e.,
5s
3
Hence the percentage increase in its speed =(2/3)×100 i.e., 66