Question

Из пункта А выехал велосипедист со скоростью 12 км/ч, через 45 минут из пункта А в том же направлении выехал мотоциклист со скоростью 32 км/ч. На каком расстоянии от А мотоциклист догонит велосипедиста?

Answer 1

Calculation of the Distance

To calculate the distance at which the motorcyclist will catch up to the cyclist, we need to determine the time it takes for the motorcyclist to catch up to the cyclist.

Let's assume that the distance from point A to the point where the motorcyclist catches up to the cyclist is D kilometers.

The cyclist's speed is 12 km/h, which means that in 45 minutes (0.75 hours), the cyclist will have traveled a distance of 12 km/h * 0.75 h = 9 km from point A.

The motorcyclist's speed is 32 km/h. To catch up to the cyclist, the motorcyclist needs to cover the same distance that the cyclist has already traveled (9 km) in the same amount of time (0.75 hours).

Using the formula distance = speed * time, we can calculate the distance D at which the motorcyclist catches up to the cyclist:

D = 32 km/h * 0.75 h = 24 km.

Therefore, the motorcyclist will catch up to the cyclist at a distance of 24 kilometers from point A.