Question

Велосипедист долає відстань між селами за 2 год, а пішохід - за 4,8 год. Знайди швидкість велосипедиста і швидкість пішохода, якщо швидкість пішохода на 7 км/год менша від швидкості велосипедиста.

Answer 1

Ответ:

Скорость велосипедиста: 12 километров в час

Скорость пешехода: 5 километров в час

Пошаговое объяснение:

Пусть скорость велосипедиста равна V км/ч. Тогда скорость пешехода равна (V - 7) км/ч.

За 2 часа велосипедист проехал расстояние, равное 2V км.

За 4,8 часа пешеход прошел расстояние, равное 4,8(V - 7) км.

Так как расстояние, которое они преодолели, одинаковое, то можем записать уравнение:

2V = 4,8(V - 7)

Решая его, получим:

2V = 4,8V - 33,6

2V - 4,8V = -33,6

-2,8V = -33,6

V = 12

Таким образом, скорость велосипедиста равна 12 км/ч, а скорость пешехода равна (12 - 7) = 5 км/ч.

Answer 2

Problem Analysis

We are given that a cyclist covers a distance between two villages in 2 hours, while a pedestrian covers the same distance in 4.8 hours. We are also given that the pedestrian's speed is 7 km/h less than the cyclist's speed. We need to find the speeds of both the cyclist and the pedestrian.

Solution

Let's assume the distance between the villages is d km.

We know that the time taken by the cyclist to cover the distance is 2 hours, and the time taken by the pedestrian is 4.8 hours.

We can use the formula speed = distance / time to find the speeds of the cyclist and the pedestrian.

Let's denote the speed of the cyclist as v km/h and the speed of the pedestrian as v - 7 km/h.

Using the formula, we can write the following equations:

For the cyclist: v = d / 2 (Equation 1)

For the pedestrian: (v - 7) = d / 4.8 (Equation 2)

To solve these equations, we can substitute Equation 1 into Equation 2:

(d / 2 - 7) = d / 4.8

Now, let's solve this equation to find the value of d.

Solving the Equation

To solve the equation (d / 2 - 7) = d / 4.8, we can multiply both sides of the equation by 4.8 to eliminate the denominators:

4.8 * (d / 2 - 7) = 4.8 * (d / 4.8)

Simplifying the equation:

2.4d - 33.6 = d

Moving all the terms to one side:

2.4d - d = 33.6

Simplifying further:

1.4d = 33.6

Dividing both sides by 1.4:

d = 33.6 / 1.4

Calculating the value of d:

d = 24

Now that we have the value of d, we can substitute it back into Equation 1 to find the speed of the cyclist:

v = 24 / 2

Calculating the value of v:

v = 12

Therefore, the speed of the cyclist is 12 km/h.

Since the speed of the pedestrian is 7 km/h less than the speed of the cyclist, the speed of the pedestrian is:

v - 7 = 12 - 7 = 5 km/h

Therefore, the speed of the pedestrian is 5 km/h.

Answer

The speed of the cyclist is 12 km/h and the speed of the pedestrian is 5 km/h.