Question

Вариант 7 1. Из двух городов в одном направлении одновременно выехали два поезда: скорый и пассажирский. Скорость скорого поезда 75 км/ч, а скорость пассажирского составляет 3/5от скорости Скорого поезда. Какое расстояние будет между ними через 8 часов?

Answer 1

Ответ:

1)75:5*3=45(км/ч)-V2

2) 75+45=120(км/ч)Vсбл.

S=V*t

3) 120*8= 960(км)

Ответ: Sчерез 8 ч=960км

Answer 2

Problem Analysis

We are given that two trains, a fast train and a passenger train, start from two different cities in the same direction at the same time. The speed of the fast train is 75 km/h, and the speed of the passenger train is 3/5 of the speed of the fast train. We need to find the distance between the two trains after 8 hours.

Calculation

To find the distance between the two trains after 8 hours, we need to calculate the distance traveled by each train.

Let's start by calculating the distance traveled by the fast train. The formula to calculate distance is:

Distance = Speed × Time

For the fast train: - Speed = 75 km/h - Time = 8 hours

Substituting the values into the formula, we get:

Distance of fast train = 75 km/h × 8 hours

Next, let's calculate the distance traveled by the passenger train. We are given that the speed of the passenger train is 3/5 of the speed of the fast train. So the speed of the passenger train is:

Speed of passenger train = (3/5) × 75 km/h

Now, we can calculate the distance traveled by the passenger train using the same formula:

Distance of passenger train = (3/5) × 75 km/h × 8 hours

Finally, to find the distance between the two trains, we subtract the distance traveled by the passenger train from the distance traveled by the fast train:

Distance between the two trains = Distance of fast train - Distance of passenger train

Let's calculate the values:

Distance of fast train = 75 km/h × 8 hours = 600 km

Distance of passenger train = (3/5) × 75 km/h × 8 hours = 360 km

Distance between the two trains = 600 km - 360 km = 240 km

Answer

The distance between the two trains after 8 hours is 240 km.