Question

Турист, двигаясь по горной дороге со скоростью 1,5 км/ч прибыл в пункт назначения. Обратно он шёл по равнине со скоростью 5 км/ч. На весь путь турист затратил 2,6 часа. 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

Calculating Time Spent on 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 mountain road = 1.5 km/h - Speed on the way back (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 t and the time spent on the plain as 2.6 - t.

Using the formula, we can set up the following equation: distance / 1.5 + distance / 5 = 2.6.

Solving this equation will give us the time spent on the mountain road.

Calculation

Using the given equation, we can solve for the time spent on the mountain road:

distance / 1.5 + distance / 5 = 2.6

Solution

Solving the equation, we find that the time spent on the mountain road is 1 hour.

So, the tourist spent 1 hour moving on the mountain road.