Question

Помогите пожалуйста с задачей :) Пешеход шел 0,5 часа с одной скоростью, затем увеличил её в 1,5 раза и шел ещё 1 час. Весь его путь составил 6 км. Какова была первоначальная скорость пешехода? С помощью линейных уравнений :)

Answer 1

Ответ:

Пусть первоначальная скорость была х

Тогда после увеличения в 1,5 раза стала 1,5х

Тогда расстояние пройденное сначала будет 0,5х

Тогда расстояние пройденное после увеличения будет 1,5х

По условию всего он прошел 6км

Составим и решим уравнение:

0,5х+1,5х=6

2х=6

х=3

Ответ:3км/ч

Answer 2

Problem Analysis

To solve this problem, we can use the formula for calculating distance: distance = speed × time. We are given the total distance traveled, the time traveled at the initial speed, and the time traveled at the increased speed. We need to find the initial speed of the pedestrian.

Let's denote the initial speed as v (in km/h). We are given the following information: - The pedestrian walked for 0.5 hours at the initial speed. - The pedestrian increased their speed by 1.5 times and walked for an additional 1 hour. - The total distance traveled is 6 km.

Solution Steps

1. Calculate the distance traveled at the initial speed. 2. Calculate the distance traveled at the increased speed. 3. Set up an equation using the total distance traveled. 4. Solve the equation to find the initial speed.

Solution

1. Calculate the distance traveled at the initial speed: - Distance = Speed × Time - Distance at the initial speed = v × 0.5 (in km).

2. Calculate the distance traveled at the increased speed: - Distance = Speed × Time - Distance at the increased speed = (1.5v) × 1 (in km).

3. Set up an equation using the total distance traveled: - Total distance = Distance at the initial speed + Distance at the increased speed - 6 = (v × 0.5) + ((1.5v) × 1) (in km).

4. Solve the equation to find the initial speed: - Simplify the equation: 6 = 0.5v + 1.5v - Combine like terms: 6 = 2v - Divide both sides by 2: v = 3 (in km/h).

Answer

The initial speed of the pedestrian was 3 km/h.

Please let me know if you need any further assistance!