Question

Два автомобиля отъехали от одной автостанции в одном направлении с одинаковой скоростью.Первый ехал 3 ч без остановки,а второй 5 ч.Какое расстояние проехал каждый автомобиль,если второй проехал на 150 км больше, чем первый?

Answer 1

1)5-3=2(часа)-разница
2)150:2=75(км/час)-скорость
3)75х3=225(км)-проехал 1-ый автомобиль
4)75х5=375(км)проехал 2-ой автомобиль
Ответ:первый автомобиль проехал 225 км , а второй 375 км.

Answer 2

#### Problem Analysis We are given that two cars left a station in the same direction with the same speed. The first car traveled for 3 hours without stopping, while the second car traveled for 5 hours. We need to determine the distance traveled by each car, knowing that the second car traveled 150 km more than the first car. #### Solution Let's assume the distance traveled by the first car is **x** km. Since the second car traveled 150 km more than the first car, the distance traveled by the second car is **x + 150** km. We can use the formula **distance = speed × time** to calculate the distance traveled by each car. For the first car: - Speed = unknown (let's call it **v**) - Time = 3 hours For the second car: - Speed = unknown (let's call it **v**) - Time = 5 hours Using the formula, we can write the following equations: **First car:** Distance = Speed × Time **x = v × 3** **Second car:** Distance = Speed × Time **x + 150 = v × 5** To solve this system of equations, we can substitute the value of **x** from equation into equation: **v × 3 + 150 = v × 5** Now, let's solve this equation to find the value of **v**. #### Calculation **v × 3 + 150 = v × 5** Simplifying the equation: **3v + 150 = 5v** Rearranging the equation: **2v = 150** Dividing both sides by 2: **v = 75** Now that we have the value of **v**, we can substitute it back into equation to find the distance traveled by the first car: **x = v × 3 = 75 × 3 = 225 km** And the distance traveled by the second car is: **x + 150 = 225 + 150 = 375 km** #### Answer Therefore, the first car traveled 225 km, and the second car traveled 375 km.