Question

The velocity of car A is 8m/s when the two cars are moving in the same direction and 28m/s when the two cars are moving in opposite directions. Determine the velocity of each car

Answer 1

Let $v_1,v_2$ be the corresponding speeds. Thus, obtain the system of equations:

$$v_1-v_2 = 8m/s\\ v_1+v_2=28m/s$$

Solving, obtain:

$$v_1 = 18m/s,v_2 = 10m/c$$