Question

В первый день туристы прошли в 2 раза больше чем во второй, а в третий на 5 км меньше, чем во второй день. Сколько проходил турист в каждый из дней, если за три дня он прошёл 65 км?

Answer 1

1 день - 35
2 день - 17.5
3 день - 12.5

Answer 2

Problem Analysis

The problem states that tourists walked twice as much on the first day compared to the second day, and 5 km less on the third day compared to the second day. The total distance covered by the tourist over the three days is 65 km. We need to determine the distance covered by the tourist on each of the three days.

Solution

Let's assume the distance covered on the second day is x km.

According to the problem, the distance covered on the first day is twice the distance covered on the second day, so it is 2x km.

The distance covered on the third day is 5 km less than the distance covered on the second day, so it is x - 5 km.

The total distance covered over the three days is 65 km, so we can write the equation:

2x + x + (x - 5) = 65

Simplifying the equation:

4x - 5 = 65

4x = 70

x = 17.5

Therefore, the distance covered on the second day is 17.5 km.

The distance covered on the first day is twice the distance covered on the second day, so it is 2 * 17.5 = 35 km.

The distance covered on the third day is 5 km less than the distance covered on the second day, so it is 17.5 - 5 = 12.5 km.

Therefore, the tourist covered 35 km on the first day, 17.5 km on the second day, and 12.5 km on the third day.

Answer

The tourist covered 35 km on the first day, 17.5 km on the second day, and 12.5 km on the third day, given that the total distance covered over the three days is 65 km.