Question

Мотоциклист выехал из города в 8 ч со скоростью 50 км/ч. В 9 ч вслед за ним выехал автомобиль со скоростью 75 км/ч. Через сколько часов автомобиль догонит мотоциклиста?

Answer 1

1)9-8=1(ч)
2)50*1=50(км)
3)75-50=25(км/ч)
4)50/25=2(ч)

Answer 2

По условию, разница во времени составляет 1час.
Пусть х (час) -время движения автомобиля,
(х+1) час - время движения мотоциклиста
Составим уравнение:
75 х = 50 (х + 1) 75 х = 50 х + 50 25 х = 50 х = 2 часа
2 часа это время, за которое автомобиль догонит мотоциклиста

Answer 3

Problem Analysis

We are given that a motorcyclist leaves the city at 8:00 AM with a speed of 50 km/h, and at 9:00 AM, a car follows the motorcyclist with a speed of 75 km/h. We need to determine how many hours it will take for the car to catch up to the motorcyclist.

Solution

To solve this problem, we can set up an equation based on the relative distance traveled by the car and the motorcyclist.

Let's assume that it takes t hours for the car to catch up to the motorcyclist. During this time, the motorcyclist will have traveled a distance of 50t km, and the car will have traveled a distance of 75(t-1) km (since the car starts one hour later).

We can set up the equation: 50t = 75(t-1)

Now, let's solve this equation to find the value of t.

50t = 75t - 75 25t = 75 t = 3

Therefore, it will take the car 3 hours to catch up to the motorcyclist.

Answer

The car will catch up to the motorcyclist after 3 hours.