Question

Туристы должны были преодолеть расстояние между двумя пунктами за 20 дней. Однако,проходя ежедневно на 2 км больше запланированного,они преодолели весь путь за 18 дней. Найдите расстояние между этими пунктами

Answer 1

1) 20-18=2 дня больше чем надо было
2)2*2=4км они шли
3)4*18=72км расстояние между 2 пунктами

Answer 2

Problem Analysis

We are given that a group of tourists planned to cover a certain distance between two points in 20 days. However, they ended up covering the entire distance in 18 days by walking 2 km more each day than planned. We need to find the distance between these two points.

Solution

Let's assume that the planned distance between the two points is x km.

According to the given information, the tourists walked 2 km more each day than planned. So, their actual daily distance covered can be represented as x + 2 km.

We know that the total distance covered is equal to the product of the daily distance and the number of days. Therefore, we can set up the following equation:

(x + 2) * 18 = x * 20

To find the value of x, we can solve this equation.

Calculation

Let's solve the equation to find the value of x:

(x + 2) * 18 = x * 20

Expanding the equation:

18x + 36 = 20x

Rearranging the equation:

20x - 18x = 36

Simplifying:

2x = 36

Dividing both sides by 2:

x = 18

Therefore, the planned distance between the two points is 18 km.

Answer

The distance between the two points is 18 km.

Verification

Let's verify our answer using the given information.

According to the given information, the tourists covered the entire distance in 18 days by walking 2 km more each day than planned.

If the planned distance is 18 km, then the actual daily distance covered would be 18 + 2 = 20 km.

The total distance covered in 18 days would be 20 km/day * 18 days = 360 km.

Therefore, the distance between the two points is indeed 18 km, which is consistent with the given information.