Stephen drove at a constant speed from Town X to Y at 9 A.M.yesterday. Half an hour later Cole drove from Town X to Y at A constant speed that was 30 km/h faster than Stephens. By 9:30 A.m, Stephanie had already traveled 40 km. Cole caught up with Stephen at Town , arriving at the same time as Stephen. At what speed was Stephen driving? What was the distance between the 2 towns?

Question

Stephen drove at a constant speed from Town X to Y at  9 A.M.yesterday. Half an hour later Cole drove from Town X to Y at  A constant speed that was 30 km/h faster than Stephens. By 9:30 A.m, Stephanie had already traveled 40 km. Cole caught up with Stephen at Town , arriving at the same time as Stephen.   At what speed was Stephen driving?     What was the distance between the 2 towns?

Henry · Answer

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.