A truck enters a highway driving 60 mph. A car enters the highway at the same place 8 minutes later and drives 67 mph in the same direction. From the time the car enters the​ highway, how long will it take the car to pass the​ truck?

Respuesta :

The truck is moving at 60mph. Which is equal to 1 mile per minute. 8 mins = 8miles.
Once the car reached the highway its speed is 67mph. If we deduct the speed of the truck we are left with 7mph(the car is gaining on the truck at this rate). So it will be 1 hour 8 minutes and 52 secs

60 mph = 1 mile per minute so the truck is 8 miles ahead  of the car

The car gains on the truck at 67 - 60 = 7 miles per hour

It will take the car 8/7 hours to overtake the truck

= 8*60/7 minutes

= 480/7 minutes

=68.57 minutes

= 1 hour 8 1/2 minutes ( approximately)