Question

Из поселка выехал мотоциклист со скоростью 80 км/час. Через 2 часа вслед за ним выехала легковая машина со скоростью 120 км/час. Через сколько часов после выхода легковая автомашина догонит мотоцикл?

Answer 1

Необходимо найти расстояние между ними S=Vм*t=80*2=160(км) далее разница скоростейΔV=Vлм-Vм=120-80=40(км/ч) далее S/ΔV=160/40=4часа

Answer 2

Calculation of Time for the Car to Catch up to the Motorcycle

To calculate the time it takes for the car to catch up to the motorcycle, we need to consider the relative speeds of the two vehicles.

Given: - Motorcycle speed: 80 km/h - Car speed: 120 km/h

We can calculate the time it takes for the car to catch up to the motorcycle by dividing the distance between them by the relative speed of the car and the motorcycle.

The relative speed of the car and the motorcycle is the difference between their speeds: Relative speed = Car speed - Motorcycle speed

Let's calculate the relative speed: Relative speed = 120 km/h - 80 km/h = 40 km/h

Now, we need to determine the distance between the car and the motorcycle. Since the car starts 2 hours after the motorcycle, the motorcycle has already traveled for 2 hours at its speed of 80 km/h. Therefore, the distance between the car and the motorcycle at the time the car starts is: Distance = Motorcycle speed * Time = 80 km/h * 2 hours = 160 km

Now, we can calculate the time it takes for the car to catch up to the motorcycle: Time = Distance / Relative speed = 160 km / 40 km/h = 4 hours

Therefore, the car will catch up to the motorcycle after 4 hours.

Answer: The car will catch up to the motorcycle after 4 hours.