Question

Two vehicles are driving along a straight roadway at a constant speed. At a certain point in time, a car is 1.2 miles away from the Welcome to Fabulous Las Vegas landmark sign and is driving at 65 miles per hour. A truck is 0.7 miles away from the same landmark and is driving at 55 miles per hour. (Remember, distance = speed * time. Also take into account how far the vehicle has already traveled). (8 points) Write an expression for total the distance between the car and the landmark, in terms of the number of hours spent driving, if the car is driving away from it. Use “t” to represent the number of hours.

Answer 1

The expression for the total distance between the car and the landmark in terms of the number of hours spent driving is given as follows;

1.2 = 65 × t

Where t = 1.2/65 = 0.0185 h = 66.46 seconds

Explanation:

The parameters given are;

Distance, d between car and landmark = 1.2 miles

Speed of car = 65 miles/hr

Distance between truck and landmark = 0.7 miles

Speed of car = 55 miles/hr

The expression for the total distance between the car and the landmark as a function of time t is given as follows;

Distance, d = Speed, v × Time, t

Therefore, the expression for the total distance between the car and the landmark in terms of the number of hours spent driving is given as follows;

1.2 = 65 × t

Where t = 1.2/65 = 0.0185 h = 66.46 seconds.