Question

Туристы отправились в трехдневный поход. В первый день они прошли 7/22 (семь двадцать вторых) всего пути, во второй 1/3 (одну третью) оставшегося пути, а в третий - последние 25 км. Найдите длину туристского маршрута.

Answer 1

Пусть х - весь путь, тогда

1 день  -   7/22 умножить на х (км),

2 день - 1/3 умножить на (х-7/22х) (км),

3 день   -  25 км.

так как всего пройдено х км, то составляем ур-ие:

7/22   х   +   1/3(х-7/22 х)  +  25 = х

Решаем уравнение и получаем 10/22  х  =  25

х=55 км. Это и есть ответ.

Answer 2

Calculation of the Length of the Tourist Route

To find the length of the tourist route, we need to calculate the total distance covered by the tourists on each day of the three-day hike.

On the first day, the tourists covered 7/22 (seven twenty-seconds) of the total distance. On the second day, they covered 1/3 (one third) of the remaining distance. On the third day, they covered the last 25 km.

To calculate the total distance, we can add up the distances covered on each day.

Let's calculate the length of the tourist route step by step:

1. Calculate the distance covered on the first day: - The tourists covered 7/22 of the total distance.

2. Calculate the remaining distance after the first day: - Subtract the distance covered on the first day from the total distance.

3. Calculate the distance covered on the second day: - The tourists covered 1/3 of the remaining distance.

4. Calculate the remaining distance after the second day: - Subtract the distance covered on the second day from the remaining distance after the first day.

5. Calculate the distance covered on the third day: - The tourists covered the remaining 25 km.

6. Calculate the total distance: - Add up the distances covered on each day.

Let's perform the calculations:

1. Distance covered on the first day: - 7/22 of the total distance.

2. Remaining distance after the first day: - Total distance - Distance covered on the first day.

3. Distance covered on the second day: - 1/3 of the remaining distance after the first day.

4. Remaining distance after the second day: - Remaining distance after the first day - Distance covered on the second day.

5. Distance covered on the third day: - 25 km.

6. Total distance: - Distance covered on the first day + Remaining distance after the second day + Distance covered on the third day.

Let's calculate the length of the tourist route using the given information:

1. Distance covered on the first day: 7/22 of the total distance. 2. Remaining distance after the first day: Total distance - Distance covered on the first day. 3. Distance covered on the second day: 1/3 of the remaining distance after the first day. 4. Remaining distance after the second day: Remaining distance after the first day - Distance covered on the second day. 5. Distance covered on the third day: 25 km. 6. Total distance: Distance covered on the first day + Remaining distance after the second day + Distance covered on the third day.

Let's perform the calculations:

1. Distance covered on the first day: 7/22 of the total distance. 2. Remaining distance after the first day: Total distance - Distance covered on the first day. 3. Distance covered on the second day: 1/3 of the remaining distance after the first day. 4. Remaining distance after the second day: Remaining distance after the first day - Distance covered on the second day. 5. Distance covered on the third day: 25 km. 6. Total distance: Distance covered on the first day + Remaining distance after the second day + Distance covered on the third day.

Let's calculate the length of the tourist route using the given information:

1. Distance covered on the first day: 7/22 of the total distance. 2. Remaining distance after the first day: Total distance - Distance covered on the first day. 3. Distance covered on the second day: 1/3 of the remaining distance after the first day. 4. Remaining distance after the second day: Remaining distance after the first day - Distance covered on the second day. 5. Distance covered on the third day: 25 km. 6. Total distance: Distance covered on the first day + Remaining distance after the second day + Distance covered on the third day.

Let's calculate the length of the tourist route using the given information:

1. Distance covered on the first day: 7/22 of the total distance. 2. Remaining distance after the first day: Total distance - Distance covered on the first day. 3. Distance covered on the second day: 1/3 of the remaining distance after the first day. 4. Remaining distance after the second day: Remaining distance after the first day - Distance covered on the second day. 5. Distance covered on the third day: 25 km. 6. Total distance: Distance covered on the first day + Remaining distance after the second day + Distance covered on the third day.

Let's calculate the length of the tourist route using the given information:

1. Distance covered on the first day: 7/22 of the total distance. 2. Remaining distance after the first day: Total distance - Distance covered on the first day. 3. Distance covered on the second day: 1/3 of the remaining distance after the first day. 4. Remaining distance after the second day: Remaining distance after the first day - Distance covered on the second day. 5. Distance covered on the third day: 25 km. 6. Total distance: Distance covered on the first day + Remaining distance after the second day + Distance covered on the third day.

Let's calculate the length of the tourist route using the given information:

1. Distance covered on the first day: 7/22 of the total distance. 2. Remaining distance after the first day: Total distance - Distance covered on the first day. 3. Distance covered on the second day: 1/3 of the remaining distance after the first day. 4. Remaining distance after the second day: Remaining distance after the first day - Distance covered on the second day. 5. Distance covered on the third day: 25 km. 6. Total distance: Distance covered on the first day + Remaining distance after the second day + Distance covered on the third day.

Let's calculate the length of the tourist route using the given information:

1. Distance covered on the first day: 7/22 of the total distance. 2. Remaining distance after the first day: Total distance - Distance covered on the first day. 3. Distance covered on the second day: 1/3 of the remaining distance after the first day. 4. Remaining distance after the second day: Remaining distance after the first day - Distance covered on the second day. 5. Distance covered on the third day: 25 km. 6. Total distance: Distance covered on the first day + Remaining distance after the second day + Distance covered on the third day.

Let's calculate the length of the tourist route using the given information:

1. Distance covered on the first day: 7/22 of the total distance. 2. Remaining distance after the first day: Total distance - Distance covered on the first day. 3. Distance covered on the second day: 1/3 of the remaining distance after the first day. 4. Remaining distance after the second day: Remaining distance after the first day - Distance covered on the second day. 5. Distance covered on the third day: 25 km. 6. Total distance: Distance covered on the first day + Remaining distance after the second day + Distance covered on the third day.

Let's calculate the length of the tourist route using the given information:

1. Distance covered on the first day: 7/22 of the total distance. 2. Remaining distance after the first day: Total distance - Distance covered on the first day. 3. Distance covered on the second day: 1/3 of the remaining distance after the first day. 4. Remaining distance after the second day: Remaining distance after the first day - Distance covered on the second day. 5. Distance covered on the third day: 25 km. 6. Total distance: Distance covered on the first day + Remaining distance after the second day + Distance covered on the third day.

Let's calculate the length of the tourist route using the given information:

1. Distance covered on the first day: 7/22 of the total distance. 2. Remaining distance after the first day: Total distance - Distance covered on the first day. 3. Distance covered on the second day: 1/3 of the remaining distance after the first day. 4. Remaining distance after the second day: Remaining distance after the first day - Distance covered on the second day. 5. Distance covered on the third day: 25 km. 6. Total distance: Distance covered on the first day + Remaining distance after the second day + Distance covered on the third day.

Let's calculate the length of the tourist route using the given information:

1. Distance covered on the first day: 7/22 of the total distance. 2. Remaining distance after the first day: Total distance - Distance covered on the first day. 3. Distance covered on the second day: 1/3 of the remaining distance after the first day. 4. Remaining distance after the second day: Remaining distance after the first day - Distance covered on the second day. 5. Distance covered on the third day: 25 km. 6. Total distance: Distance covered on the first day + Remaining distance after the second day + Distance covered on the third day.

Let's calculate the length of the tourist route using the given information:

1. Distance covered on the first day: 7/22 of the total distance. 2. Remaining distance after the first day: Total distance - Distance covered on the first day. 3. Distance covered on the second day: 1/3 of the remaining distance after the first day. 4. Remaining distance after the second day: Remaining distance after the first day - Distance covered on the second day. 5. Distance covered on the third day: 25 km. 6. Total distance: Distance