СРОЧНО Скорость автомобиля на 20(км/ч)больше скорости поезда. Расстояние между городами поезд
проехал за 4 часа, а автомобиль за 3 часа. Найти скорость поезда и автомобиля.Ответы на вопрос
Ответ:
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Problem Analysis
We are given that the speed of a car is 20 km/h faster than the speed of a train. The train traveled a certain distance in 4 hours, while the car traveled the same distance in 3 hours. We need to find the speeds of the train and the car.Solution
Let's assume the speed of the train is x km/h. Since the speed of the car is 20 km/h faster, the speed of the car is x + 20 km/h.We know that the distance traveled by the train in 4 hours is the same as the distance traveled by the car in 3 hours. Let's denote the distance as d km.
Using the formula speed = distance / time, we can set up the following equations:
For the train: x = d / 4 (Equation 1)
For the car: (x + 20) = d / 3 (Equation 2)
To solve this system of equations, we can substitute Equation 1 into Equation 2:
(d / 4 + 20) = d / 3
Now, let's solve for d:
3d + 60 = 4d
d = 60
Now that we have the distance, we can substitute it back into Equation 1 to find the speed of the train:
x = 60 / 4 = 15 km/h
The speed of the train is 15 km/h.
Since the speed of the car is 20 km/h faster, the speed of the car is 15 + 20 = 35 km/h.
Therefore, the speed of the train is 15 km/h and the speed of the car is 35 km/h.
Answer
The speed of the train is 15 km/h and the speed of the car is 35 km/h.Похожие вопросы
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