Question

Из пункта А одновременно в одном направлении отправились пешеход и велосипедист. Скорость пешехода в 3 раза меньше скорости велосипедиста. Через 2 часа расстояние между ними будет 14км. Найти скорость пешехода и велосипедиста с помощью уравнения

Answer 1

Ответ:

Пошаговое объяснение:

Скорость велосипедиста = 3x

Скорость пешехода = x

Скорость отдаления = 3x - x = 2x

Тогда:

2x = 14км : 2час

2x = 7км/час

x = 3,5км/час

Скорость пешехода = 3,5км/час

Скорость велосипедиста = 3,5км/час * 3 = 10,5км/час

Answer 2

Problem Analysis

We are given that a pedestrian and a cyclist start simultaneously from point A and travel in the same direction. The pedestrian's speed is three times slower than the cyclist's speed. After 2 hours, the distance between them is 14 km. We need to find the speeds of the pedestrian and the cyclist using an equation.

Solution

Let's assume the speed of the cyclist is x km/h. Since the pedestrian's speed is three times slower, the pedestrian's speed is (1/3)x km/h.

We can use the formula distance = speed × time to create two equations based on the given information.

Equation 1: Distance covered by the cyclist in 2 hours = Distance covered by the pedestrian in 2 hours + 14 km

Equation 2: Distance covered by the cyclist = Speed of the cyclist × 2 hours

Equation 3: Distance covered by the pedestrian = Speed of the pedestrian × 2 hours

Let's solve these equations to find the speeds of the pedestrian and the cyclist.

Calculation

Using Equation 1: Distance covered by the cyclist in 2 hours = Distance covered by the pedestrian in 2 hours + 14 km

Speed of the cyclist × 2 hours = (Speed of the pedestrian × 2 hours) + 14 km

2x = (1/3)x × 2 + 14

2x = (2/3)x + 14

Multiplying both sides by 3 to eliminate the fraction:

6x = 2x + 42

6x - 2x = 42

4x = 42

x = 42/4

x = 10.5

The speed of the cyclist is 10.5 km/h.

Using Equation 3: Distance covered by the pedestrian = Speed of the pedestrian × 2 hours

(1/3)x × 2 = (1/3) × 10.5 × 2 = 7 km

The speed of the pedestrian is 7 km/h.

Answer

Therefore, the speed of the pedestrian is 7 km/h and the speed of the cyclist is 10.5 km/h.