Question

Из двух городов, расстояние между которыми равно 385 км, выехали навстречу друг другу легковой и грузовой автомобили. Легковой автомобиль ехал со скоростью 80 км/ч, а грузовой - 50 км/ч. Сколько времени ехал до встречи каждый из них, если грузовой автомобиль выехал на 4 ч позже легкового?

Answer 1

Примерно можно сказать а точно нет тут с км даны подкавырестые
4*80=320км
385-320=65км осталось и начал ехать грузовой 80+50=130 скорость сближения а это половина пути которого  осталось пройти машинам и осюда мы находи 
4,5ч легковой и 0,5 ч грузовой

Answer 2

Problem Analysis

We are given that the distance between two cities is 385 km. A passenger car and a truck start traveling towards each other from these cities. The passenger car travels at a speed of 80 km/h, while the truck travels at a speed of 50 km/h. The truck starts 4 hours later than the passenger car. We need to determine how long each vehicle traveled before they met.

Solution

Let's calculate the time it takes for each vehicle to meet.

Let's assume the time it takes for the passenger car to meet the truck is t hours.

The distance traveled by the passenger car in t hours is given by: Distance = Speed × Time Distance = 80t

The distance traveled by the truck in t - 4 hours is given by: Distance = Speed × Time Distance = 50(t - 4)

Since the total distance between the two cities is 385 km, we can write the equation: Distance traveled by the passenger car + Distance traveled by the truck = Total distance 80t + 50(t - 4) = 385

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

80t + 50t - 200 = 385 130t = 585 t = 585 / 130 t = 4.5

Therefore, it takes the passenger car 4.5 hours to meet the truck.

To find the time each vehicle traveled before they met, we can substitute the value of t into the equations we derived earlier.

The time traveled by the passenger car is t = 4.5 hours.

The time traveled by the truck is t - 4 = 4.5 - 4 = 0.5 hours.

Therefore, the passenger car traveled for 4.5 hours before meeting the truck, while the truck traveled for 0.5 hours before meeting the passenger car.

Answer

The passenger car traveled for 4.5 hours before meeting the truck, while the truck traveled for 0.5 hours before meeting the passenger car.