Question

Турист прошел в первый день 10/31 всего пути, во второй 9/10 того, что прошел в первый день, а в третий – остальную часть пути, причем в третий день он прошел на 12 км больше, чем во второй день. Сколько километров прошел турист в каждый из трех дней?

Answer 1

Х- весь путь
10х/31- в первый день
10х/31*9/10=9х/31 - во второй день
х-10х/31-9х/31-в третий день
по условию:
(х-10х/31-9х/31)-9х/31=12
х-28х/31=12
3х/31=12
х=(12*31)/3=124 км весь путь
10*124/31=40 км в первый день
9*124/10=36 км во второй день
124-40-36=48 км в третий день

Answer 2

Calculation of the Distance Covered by the Tourist

To calculate the distance covered by the tourist in each of the three days, we'll use the given information:

- On the first day, the tourist covered 10/31 of the total distance. - On the second day, the tourist covered 9/10 of what they covered on the first day. - On the third day, the tourist covered the remaining distance, which was 12 km more than what they covered on the second day.

Let's calculate the distance covered in each day step by step:

1. First, let's find the total distance covered by the tourist in the first day: - The tourist covered 10/31 of the total distance.

2. Next, let's find the distance covered by the tourist in the second day: - The tourist covered 9/10 of what they covered on the first day.

3. Finally, let's find the distance covered by the tourist in the third day: - The tourist covered the remaining distance, which was 12 km more than what they covered on the second day.

Let's calculate the distances using the given information.

Calculation:

1. Distance covered on the first day: - The tourist covered 10/31 of the total distance.

2. Distance covered on the second day: - The tourist covered 9/10 of what they covered on the first day.

3. Distance covered on the third day: - The tourist covered the remaining distance, which was 12 km more than what they covered on the second day.

Now, let's calculate the distances covered in each day.

Solution:

1. Distance covered on the first day: - Let's assume the total distance is x km. - The tourist covered 10/31 of the total distance. - Therefore, the distance covered on the first day is (10/31) * x km.

2. Distance covered on the second day: - The tourist covered 9/10 of what they covered on the first day. - Therefore, the distance covered on the second day is (9/10) * (10/31) * x km.

3. Distance covered on the third day: - The tourist covered the remaining distance, which was 12 km more than what they covered on the second day. - Therefore, the distance covered on the third day is [(9/10) * (10/31) * x] + 12 km.

To summarize:

- Distance covered on the first day: (10/31) * x km - Distance covered on the second day: (9/10) * (10/31) * x km - Distance covered on the third day: [(9/10) * (10/31) * x] + 12 km

Please note that the exact value of the total distance covered by the tourist cannot be determined without additional information. The distances provided above are in terms of x, representing the total distance covered by the tourist.