Question

Двигаясь по течению,расстояние между двумя лагерями байдарочник преодолел за 2,5 ч. При возвращении его скорость уменьшилась на 2 км/ч ,поэтому на обратный путь он потратил на 1 ч больше. Определите расстояние между лагерями.

Answer 1

Х-скорость по течению 
х-2-скорость против течния 
х*2= (х-2)*3,5 
2,5х=3,5-7 
-х=-7 : (-1) 
х=7 
___________ 
7*2,5=17,5 (км) 
Ответ:17,5км

Answer 2

Problem Analysis

We are given that a kayaker traveled a certain distance between two camps downstream in 2.5 hours. On the return trip, the kayaker's speed decreased by 2 km/h, and it took 1 hour longer to cover the same distance. We need to determine the distance between the camps.

Solution

Let's assume the distance between the camps is d km.

On the downstream trip, the kayaker's speed is v km/h, and the time taken is 2.5 hours. Therefore, we can write the equation:

d = v * 2.5 On the return trip, the kayaker's speed is v - 2 km/h (since the speed decreased by 2 km/h), and the time taken is 2.5 + 1 = 3.5 hours. Therefore, we can write the equation:

d = (v - 2) * 3.5 To solve for d, we can set equations and equal to each other:

v * 2.5 = (v - 2) * 3.5

Simplifying the equation:

2.5v = 3.5v - 7

7 = 3.5v - 2.5v

7 = v

Therefore, the kayaker's speed is 7 km/h.

Substituting the value of v into equation:

d = 7 * 2.5

d = 17.5

Hence, the distance between the camps is 17.5 km.

Answer

The distance between the two camps is 17.5 km.