Question

A car leaves one city to another with a speed of 40 km/h three hours before leaving another motorcycle from the same city with a speed of 90 km/h.

How far from the arrival city does the motorcycle reach the car?
A) 4 hours, 1 hour, 180 km
B) 2 hours, 5 hours, 300 km
C) 3 hours, 2 hours, 270 km
D) 5 hours, 3 hours, 360 km

Answer 1

The motorcycle reaches the car 1 hour and 20 minutes after the car starts, at a distance of 120 km.

Step-by-step explanation:

To find out how far from the arrival city the motorcycle reaches the car, we first need to calculate the time it takes for the motorcycle to catch up with the car. We can use the formula:

Time = Distance / Speed

The car leaves the city three hours before the motorcycle, so the car has already traveled a distance of 3 * 40 km = 120 km when the motorcycle starts. To catch up with the car, the motorcycle needs to cover the same distance in less time:

Time = 120 km / 90 km/h = 4/3 hours

Therefore, the motorcycle will catch up with the car after 4/3 hours, which is 1 hour and 20 minutes. The distance from the arrival city where the motorcycle reaches the car is 120 km.