Question

Турист двигаясь по горной дороге со скоростью 1,5 км/ч прибыл в пункт назначения. обратно он шел по равнине со скоростью 5 км/ч На весь путь турист затратил 2,6ч. сколько часов затратил турист, двигаясь по горной дороге

Answer 1

Обозначим расстояние за х.
Тогда время необходимое для движения по горной дороге равно х/1,5 = 2х/3
А время необходимое для движения по равнине равно х/5
Тогда составим уравнение:
2х/3 + х/5 = 2,6
(10х + 3х)/15 = 2,6
13 х = 39
х = 3 км
Время на горной дороге = 3/1,5 =2 часа

Answer 2

Calculating the Time Spent on the Mountain Road

To calculate the time spent by the tourist while moving on the mountain road, we can use the formula:

Time = Distance / Speed

Given: - Speed on the mountain road = 1.5 km/h - Speed on the plain = 5 km/h - Total time for the entire journey = 2.6 hours

Let's denote the time spent on the mountain road as T1 and the time spent on the plain as T2.

We can use the following equations to represent the time spent on each segment of the journey:

1. T1 = Distance on the mountain road / Speed on the mountain road 2. T2 = Distance on the plain / Speed on the plain 3. T1 + T2 = Total time for the entire journey

We can solve these equations to find the time spent on the mountain road.

Calculating the Time Spent on the Mountain Road

Using the given speeds and the total time for the entire journey, we can calculate the time spent on the mountain road as follows:

T1 = Distance on the mountain road / Speed on the mountain road

From the provided information, we have the following equation: T1 + T2 = 2.6 hours

We can express T2 in terms of T1 as follows: T2 = 2.6 - T1

Now, let's calculate the distance on the mountain road using the formula: Distance = Speed * Time

Substituting the given values: Distance on the mountain road = 1.5 * T1

Substituting the expressions for T1 and T2 into the equation T1 + T2 = 2.6, we get: T1 + (2.6 - T1) = 2.6 2.6 = 2.6

This equation does not provide additional information to solve for T1. It seems there might be an issue with the provided information or the calculations.