Question

Лыжная дистанция разбита на три участка. Длина первого участка составляет 12/25 длины всей дистанции. Длина второго участка составляет 5/12 длины первого участка. Какова длина третьего участка,если длина второго участка 5 км?

Answer 1

1) 12/25 * 5/12 = 5/25 = 1/5 - длина второго участка, равная 5 км;
2) 5 * 5 = 25 (км) - длина лыжной дистанции (5/5=1(целое);
3) 25 * 12/25 = 12 (км) - длина первого участка;
4) 25 - (5 + 12) = 8 (км) - длина третьего участка.
Ответ: 8 км.

Answer 2

Calculation of the Length of the Third Section

To determine the length of the third section, we need to follow the given information about the lengths of the first and second sections.

According to the information provided, the length of the second section is 5 km. Let's denote the length of the first section as x.

The length of the second section is given as 5/12 of the length of the first section. Therefore, we can set up the following equation:

(5/12) * x = 5

To solve for x, we can multiply both sides of the equation by 12/5:

x = (5 * 12) / 5

Simplifying the equation, we find:

x = 12

So, the length of the first section is 12 km.

Now, we know that the length of the first section is 12 km and the length of the second section is 5 km. We can find the length of the third section by subtracting the lengths of the first and second sections from the total length of the ski distance.

The total length of the ski distance is given as 12/25 of the total distance. Let's denote the total distance as D.

According to the information provided, the length of the first section is 12/25 of the total distance. Therefore, we can set up the following equation:

(12/25) * D = 12

To solve for D, we can multiply both sides of the equation by 25/12:

D = (12 * 25) / 12

Simplifying the equation, we find:

D = 25

So, the total length of the ski distance is 25 km.

To find the length of the third section, we subtract the lengths of the first and second sections from the total length of the ski distance:

Length of third section = Total length - Length of first section - Length of second section

Length of third section = 25 km - 12 km - 5 km

Simplifying the equation, we find:

Length of third section = 8 km

Therefore, the length of the third section is 8 km.