Question

Между городами А и В расстояние 460 км из а в В выехал грузовик со скоростью 50км\час ,Через 2 часа из В навстречу ему выехал легковой автомобиль со скоростью 70км\час Через сколько часов после выезда грузовика машины встретятся ?

Answer 1

50х2=100 км проехал грузовик за 2 часа
460-100=360 км расстояние между грузовиком и автомобилем
50+70=120 км/ч скорость сближения
360/120=3 часа
встретятся через 3 часа

Answer 2

Через три часа. автобус прошел за 2 часа со скоростью 50 км/ч-100 км, следовательно осталось 360 км пути. 360/(50+70)=3 часа

Answer 3

Problem Analysis

We are given that the distance between cities A and B is 460 km. A truck leaves city A with a speed of 50 km/h, and after 2 hours, a car leaves city B towards the truck with a speed of 70 km/h. We need to determine how many hours after the truck's departure the two vehicles will meet.

Solution

To solve this problem, we can use the formula: time = distance / speed.

Let's calculate the time it takes for the truck to reach the meeting point: - Distance traveled by the truck = speed of the truck * time = 50 km/h * 2 hours = 100 km.

Now, let's calculate the remaining distance between the car and the truck: - Remaining distance = total distance - distance traveled by the truck = 460 km - 100 km = 360 km.

To find the time it takes for the car to cover this remaining distance, we can use the same formula: - Time = distance / speed = 360 km / 70 km/h.

Let's calculate the time it takes for the car to reach the meeting point: - Time = 360 km / 70 km/h = 5.14 hours.

Therefore, the car and the truck will meet approximately 5.14 hours after the truck's departure.

Answer

The car and the truck will meet approximately 5.14 hours after the truck's departure.