A tourist bus leaves Richmond at 1:00 pm for New York City. Exactly 30 minutes later, a truck sets out in the same direction. The tourist bus moves at a steady 60km/h. The truck travels at 80km/h. How long does it take the truck to overtake the tourist bus?

Answer 1

Let's call the time it takes for the truck to overtake the tourist bus as T.

In 30 minutes (0.5 hours), the tourist bus would have traveled 0.5 * 60 = <<0.5*60=30>>30 kilometers.

Now, let's calculate the relative speed between the truck and the tourist bus:
Relative speed = Speed of the truck - Speed of the tourist bus
Relative speed = 80 - 60 = <<80-60=20>>20 km/h.

To overtake the tourist bus, the truck needs to cover the distance that separates them, which is 30 kilometers.
Using the formula: Distance = Speed * Time, we can rearrange it as: Time = Distance / Speed.

Therefore, T = 30 km / 20 km/h = 1.5 hours.

So, it takes the truck 1.5 hours to overtake the tourist bus.