Question

Stephen drove at a constant speed from Town X to Town Y at 9 A.M. yesterday. Half an hour later Cole drove from Town X to Town Y at a constant speed that was 30km/h faster than Stephens. 9:30 A.M., Stephen had already travelled 40km. Cole caught up with Stephen at Town Y, arriving the same time as Stephen.

a) At what speed was Stephen driving?
b) What was the distance between the 2 towns?

Answer 1

r1 = 40km/0.5h = 80 km/h = Stephen's speed.

r2=Cole's speed = 80 + 30 = 110 km/h.

r2 * t = (r1 * t) + 40km

110t = 80t + 40

30t = 40

t = 1.33 h.

D = r*t = 110 * 1.333 = 146.7 km. =

Distance between the 2 towns.

Explanation: