At his usual speed a cyclist covers a certain distance in 8 hours. When the speed of cycle is increased by 4 km/hr the same distance can be covered in 6 hours. Find the distance.

96 km

Ratio of time = 8 : 6

Ratio of speed = 6 : 8

Difference = 2 → 4 km/hr

Actual speed = 12km/hr and 16km/hr

Distance = speed x time

Distance = 12 x 8 = 96km