Problema Solution
A motorcycle traveling at 70 miles per hour overtakes a car traveling at 40 miles per hour that had a three-hour head start.How far from the starting point are the two vehicles given that they started from the same point?
Answer provided by our tutors
let
v1 = 70 mph the speed of the motorcycle
t = the time of the motorcycle
v2 = 40 mph the speed of the car
t + 3 = the time of the car (the car had a three-hour head start)
since they both traveled the same distance and distance = speed*time we have:
v1t = v2(t + 3)
70t = 40(t + 3)
by solving we find:
t = 4 hr
click here to see the step by step solution of the equation:
the distance = v1*t = 70*4 = 280 miles.