Question

Скауты прошли 10/21 всего пути , за 2 день 9/10 расстояния, пройденого за первый , день за третий день оставшуюся часть пути. За третий день они прошли на 21 км меньше ,чем за второй. Сколько скауты проходили каждый день ? Какова длина маршрута запланированного ?

Answer 1

РЕШЕНИЕ
1) 10/21 * 9/10 = 3/7 - часть пути за второй день
2) 1 - (10/21 + 3/7) = 1 - 19/21 = 2/21  - часть осталась на третий день.
3)  3/7 - 2/21 = 1/3 часть меньше за третий - и это 21 км.
Целое по его части находим делением на её долю.
4) S = 21 : 1/3 = 21*3 = 63 км - весь путь - ОТВЕТ
Часть от целого находим умножением на её долю.
5) 63 км * 10/21 = 30 км -  за первый день - ОТВЕТ
6) 63 км * 3/7 = 27 км - за второй день - ОТВЕТ 
7) 63 км * 2/21 =  6 км - за третий день - ОТВЕТ
ПРОВЕРКА
27 - 6 = на  21 км меньше в третий день - правильно.

Answer 2

Calculation of Daily Distance Covered by Scouts

To solve this problem, let's break it down step by step:

1. The scouts covered 10/21 of the total distance in 2 days. 2. On the first day, they covered 9/10 of the distance. 3. On the third day, they covered the remaining distance. 4. The distance covered on the third day was 21 km less than the distance covered on the second day.

Let's calculate the daily distances covered by the scouts:

1. Distance covered on the first day: (9/10) * (10/21) = 9/21 of the total distance. 2. Distance covered on the second day: (10/21) - (9/21) = 1/21 of the total distance. 3. Distance covered on the third day: (10/21) - (21 km less than the second day).

Now, let's calculate the length of the planned route:

The total distance covered by the scouts is 10/21 of the planned route. Therefore, the length of the planned route can be calculated as follows:

Planned route length = (21/10) * (10/21) = 1.

So, the length of the planned route is 1.

Now, let's calculate the daily distances covered by the scouts:

1. Distance covered on the first day: (9/10) * (10/21) = 9/21 of the planned route. 2. Distance covered on the second day: (10/21) - (9/21) = 1/21 of the planned route. 3. Distance covered on the third day: (10/21) - (21 km less than the second day).

To calculate the distance covered on the third day, we need to know the exact value of "21 km less than the second day." Unfortunately, the provided information does not specify this value. Therefore, we cannot determine the exact daily distances covered by the scouts.

Please provide the exact value of "21 km less than the second day" to proceed with the calculation.