Problema Solution

2 vehicles merge onto highway, A travelling North B South at 3/4 speed. In 90 minutes they are 168 miles apart. What is the speed of each vehicle

Answer provided by our tutors

let 'x' represent the speed of 'A', then the speed of 'B' is '(3/4)x', although the wording of the problem is awkward at best


distance = speed * time


the cummulative rate, since they are travelling in opposite directions, is 'x+(3/4)x'


90 minutes = 1.5 hours


168 = (x+(3/4)x) * 1.5

solving for 'x' we have x=64


64 * (3/4) = 48


vehicle A is travelling north at 64 mph

vehicle B is travelling south at 48 mph