Problema Solution
a truck enters a highway driving 60 mph. a car enters the highway at the same place 8 minutes later then drives 65 mph in the same direction. from the time the car enters the highway, how long will it take the car to pass the truck
Answer provided by our tutors
let
v1 = 60 mph the speed of the truck
t + 8/60 = the time of the travel of the truck
v2 = 65 mph the speed of the car
t = the time of the travel of the car until it passes the car, t>0
After t hours the car and the truck will pass the same distance, and since distance = speed*time we have:
v1*(t + 8/60) = v2*t
60(t + 8/60) = 65t
by solving we find:
t = 1.6 ht
t = 1 hr 0.6*60 min
t = 1 hr 36 min
click here to see the step by step solution of the equation:
it will take 1 hour and 36 minutes for the car to pass the truck.