Question

Турист шел от турбазы до станции со скоростью 5км/ч. Если бы он шел со скоростью 3км/ч то затратил бы на дорогу на 2 часа больше. Чему равно расстояние от турбазы до станции

Answer 1

У нас есть одно неизвестное расстояние S. составим уравнение по условию задачи
$\frac{S}{3}- \frac{S}{5}=2 \\ \frac{5S-3S}{15}=2 \\ 2S=30 \\ S=15$

Answer 2

Calculating the Distance from the Tourist Base to the Station

To calculate the distance from the tourist base to the station, we can use the formula:

Distance = Speed x Time

Let's denote the distance as D, the original speed as 5 km/h, the reduced speed as 3 km/h, and the difference in time as 2 hours.

When the tourist walks at 5 km/h, the time taken is T hours. When the tourist walks at 3 km/h, the time taken is T + 2 hours.

Using the formula, we can set up the following equations:

1. D = 5T 2. D = 3(T + 2)

We can solve these equations to find the value of D.

Solving for the Distance

Substituting the value of D from equation 1 into equation 2:

5T = 3(T + 2)

Solving for T:

5T = 3T + 6

2T = 6

T = 3

Now, substituting T = 3 into equation 1:

D = 5 x 3

D = 15 km

Conclusion

The distance from the tourist base to the station is 15 kilometers.