Question

От станции до озера турист доехал на велосипеде за 2 часа.Пешком он мог бы пройти это расстояние за 6 часов.чему равно расстояние от станции до озера,если на велосипеде турист едет со скоростью,на 10км/ч большей,чем идёт пешком?

Answer 1

X км/час- скорость пешком, (x+10) км/час- скорость на велосипеде. составляем уравнение: 6*x=2*(x+10); 6x=2x+20; 6x-2x=20; 4x=20; x=20/4=5 (км/час). S=5*6=30(км). Ответ: расстояние от станции до озера 30 км.

Answer 2

Problem Analysis

We are given that a tourist traveled from a station to a lake in 2 hours by bicycle. If the tourist were to walk, they would take 6 hours to cover the same distance. We need to find the distance from the station to the lake, given that the tourist rides the bicycle at a speed 10 km/h faster than their walking speed.

Solution

Let's assume the distance from the station to the lake is d kilometers.

We know that the tourist traveled the distance by bicycle in 2 hours, so the speed of the bicycle can be calculated as d/2 km/h.

We also know that if the tourist were to walk, they would take 6 hours to cover the same distance. Let's calculate the walking speed as d/6 km/h.

According to the problem, the speed of the bicycle is 10 km/h faster than the walking speed. So we can set up the following equation:

d/2 = (d/6) + 10

To solve this equation, we can multiply both sides by 6 to eliminate the denominators:

3d = d + 60

Simplifying the equation, we get:

2d = 60

Dividing both sides by 2, we find:

d = 30

Therefore, the distance from the station to the lake is 30 kilometers.

Answer

The distance from the station to the lake is 30 kilometers.