A truck enters a highway driving 60 mph . A car enters the highway at the same place 8 minutes later and drives 66 mph in the same direction. From the time the car enters the highway, how long will it take the car to pass the truck? The car will pass the truck in \( \square \) minutes. (Round to the nearest minute.)

To solve this, we first need to calculate how far the truck travels in the 8 minutes before the car enters the highway. Since the truck drives at 60 mph, we can convert 8 minutes to hours (8 minutes = 8/60 hours = 1/7.5 hours). Distance traveled by the truck in those 8 minutes: \[ \text{Distance} = \text{Speed} \times \text{Time} = 60 \text{ mph} \times \frac{1}{7.5} \text{ hours} = 8 \text{ miles} \] Now, when the car enters the highway, the truck has a head start of 8 miles. The car travels at 66 mph while the truck continues at 60 mph. The car gains on the truck at a rate of: \[ 66 \text{ mph} - 60 \text{ mph} = 6 \text{ mph} \] To find the time taken for the car to catch up the 8 miles: \[ \text{Time} = \frac{\text{Distance}}{\text{Rate}} = \frac{8 \text{ miles}}{6 \text{ mph}} = \frac{4}{3} \text{ hours} \] Converting \(\frac{4}{3}\) hours to minutes: \[ \frac{4}{3} \text{ hours} \times 60 \text{ minutes/hour} = 80 \text{ minutes} \] So, the car will pass the truck in **80 minutes**.