Question

Amy & David are siblings who live 400 km apart. They're going to have a week's holiday by exchanging houses. On the day they are starting their holiday, Amy leaves home at 8 a.m., and David at 10 a.m. They both drive at 120 km/hr* on a motorway that travels directly between their houses. At what time do they pass each other on the road?

Answer 1

Amy and David will pass each other on the road at 11 a.m.

Step-by-step explanation:

To find the time when Amy and David pass each other on the road, we need to determine the time it takes for each of them to reach the meeting point.

Amy leaves home at 8 a.m. and drives for 2 hours to the meeting point, which is 120 km/h × 2 hours = 240 km from her home.

David leaves home at 10 a.m. and drives for 1 hour to the meeting point, which is 120 km/h × 1 hour = 120 km from his home.

Since Amy has traveled farther and both of them drive at the same speed, it means that David is still 240 km - 120 km = 120 km away from the meeting point when Amy arrives.

Therefore, David needs to cover the remaining distance of 120 km at a speed of 120 km/h. So, it will take him 120 km / 120 km/h = 1 hour to reach the meeting point.

Thus, Amy and David will pass each other on the road at 8 a.m. + 2 hours + 1 hour = 11 a.m.