Question

Задача. Турист,двигаясь по горной дороге со скоростью 1,5 км/ч ,прибыл на место назначения. Обратно он шел по Равнине со скоростью 5 км/ч . На весь путь турист затратил 2 целые три пятые" ч. Сколько часов затратил турист двигаясь по горной дороге ?

Answer 1

Х-время по горной дороге
2 3/5-х время по равнине
1,5х=5(2 3/5-х)
1,5х=13-5х
6,5х=13
х=2
ответ: 2часа

Answer 2

Problem:

Турист двигался по горной дороге со скоростью 1,5 км/ч и прибыл на место назначения. Обратно он шел по Равнине со скоростью 5 км/ч. На весь путь турист затратил 2 целые три пятых часа. Сколько часов затратил турист, двигаясь по горной дороге?

Solution:

To find out how many hours the tourist spent traveling on the mountain road, we can set up an equation based on the given information.

Let's assume that the distance traveled on the mountain road is d kilometers.

The time taken to travel on the mountain road can be calculated using the formula: time = distance / speed.

According to the problem, the speed on the mountain road is 1.5 km/h, so the time taken to travel on the mountain road is d / 1.5 hours.

The time taken to travel on the plain is given as 2 and 3/5 hours, which can be written as 2.6 hours.

The speed on the plain is 5 km/h, so the distance traveled on the plain can be calculated using the formula: distance = speed * time.

The distance traveled on the plain is 5 * 2.6 kilometers.

Since the total distance traveled is the sum of the distances traveled on the mountain road and the plain, we can set up the equation: d + 5 * 2.6 = d + 13.

Simplifying the equation, we get: 13 = 5 * 2.6.

Solving for d, we find that d = 13 - 13 / 5 = 13 - 2.6 = 10.4 kilometers.

Now, we can calculate the time taken to travel on the mountain road using the formula: time = distance / speed.

Substituting the values, we get: time = 10.4 / 1.5 = 6.93 hours.

Therefore, the tourist spent approximately 6.93 hours traveling on the mountain road.