Question

Турист.двигаясь по горной дороге со скоростью 1.5 км/ч прибыл в пункт назначения.Обратно .он шел по горной равнине со скоростью 5 км/ч . На весь путь затратил 2.6 ч. Сколько часов затратил турист.двигаясь по горной дороге.

Answer 1

Пусть по горной дороге турист шел х часов.Тогда по равнине он шел 2,6-х часов.
Поскольку расстояние он прошел равное, то можем составить уравнение
1,5х=5(2,6-х)
1,5х=13-5х
6,5х=13
х=2(ч)- затратил турист на горную дорогу.

Answer 2

Calculation of 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 that the speed of the tourist on the mountain road is 1.5 km/h, and the total time spent on the entire journey is 2.6 hours, we can calculate the time spent on the mountain road as follows:

Time on the mountain road = Total time - Time on the plain road

Time on the mountain road = 2.6 hours - Time on the plain road

Now, let's calculate the time spent on the plain road.

Calculation of Time Spent on the Plain Road

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

Time = Distance / Speed

Given that the speed of the tourist on the plain road is 5 km/h, and the total time spent on the entire journey is 2.6 hours, we can calculate the time spent on the plain road as follows:

Time on the plain road = Total time - Time on the mountain road

Time on the plain road = 2.6 hours - Time on the mountain road

Now, let's calculate the time spent on the plain road.

Calculation:

Let's assume the time spent on the mountain road is 'x' hours.

According to the given information, the speed on the mountain road is 1.5 km/h, and the speed on the plain road is 5 km/h.

The distance covered on the mountain road can be calculated using the formula:

Distance = Speed * Time

The distance covered on the plain road can also be calculated using the same formula.

Since the total time spent on the entire journey is 2.6 hours, we can write the following equation:

Distance on the mountain road + Distance on the plain road = Total distance

Speed on the mountain road * Time on the mountain road + Speed on the plain road * Time on the plain road = Total distance

Substituting the given values, we have:

1.5 * x + 5 * (2.6 - x) = Total distance

Simplifying the equation, we get:

1.5x + 13 - 5x = Total distance

-3.5x + 13 = Total distance

To solve for 'x', we need the value of the total distance covered. Unfortunately, the total distance covered is not provided in the question. Without this information, we cannot calculate the exact time spent on the mountain road.

Please provide the total distance covered so that we can calculate the time spent on the mountain road accurately.