Question

A truck enters a highway driving 60 mph. a car enters the highway at the same place 12 minutes later and 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 1

Explanation:

When the car enters the highway, the truck has already traveled for 12 minutes or 12/60 = 0.2 hours.

Let's assume that the car passes the truck after time t hours from the time it enters the highway.

In this time, the truck has traveled a distance of 60t miles.

The car has traveled a distance of 65t - 65(0.2) = 65t - 13 miles.

To find when the car will pass the truck, we need to set these distances equal to each other:

60t = 65t - 13

Solving for t, we get:

5t = 13

t = 13/5

t = 2.6 hours

Therefore, it will take the car 2.6 hours from the time it enters the highway to pass the truck.