Question

В первый день турист прошёл 20% всего пути,во второй -60% остатка пути,а в третий остальные -24км.Найти длину пути,который преодолел турист за два дня?(по вопросам)

Answer 1

1)100-20-60=20%=24 км
2)(60+20):20*24=96 км

Answer 2

Problem Analysis

The problem states that a tourist walked 20% of the total distance on the first day, 60% of the remaining distance on the second day, and the rest of the distance on the third day. We need to find the total length of the path that the tourist covered in two days.

Solution

Let's assume the total length of the path is x kilometers.

On the first day, the tourist walked 20% of the total distance, which is 0.2x kilometers.

On the second day, the tourist walked 60% of the remaining distance. The remaining distance after the first day is (1 - 0.2)x = 0.8x kilometers. Therefore, the distance covered on the second day is 0.6 * 0.8x = 0.48x kilometers.

On the third day, the tourist covered the rest of the distance, which is the remaining 40% of the total distance. The remaining distance after the second day is (1 - 0.48)x = 0.52x kilometers.

According to the problem, the distance covered on the third day is 24 kilometers.

To find the total length of the path covered in two days, we need to add the distances covered on the first and second days:

Total distance covered = distance on the first day + distance on the second day

Total distance covered = 0.2x + 0.48x

Total distance covered = 0.68x

Since the total distance covered is equal to 0.68x kilometers and is given as 24 kilometers, we can set up the following equation:

0.68x = 24

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

x = 24 / 0.68

x ≈ 35.2941 kilometers

Therefore, the total length of the path that the tourist covered in two days is approximately 35.2941 kilometers.

Answer

The total length of the path that the tourist covered in two days is approximately 35.2941 kilometers.