Question

Первые 25 км пути турист шел со скоростью 7 1/2 км/ч, оставшиеся 15 км со скоростью в 2 1/3 раза меньшей. Сколько времени длился маршрут туриста? Пожалуйста помогите

Answer 1

Ответ: 15/31

Пошаговое объяснение:

1) 25 : 7 1/2 = 3 1/3 (ч.) - шёл турист первые 25 км

2) 7 1/2 - 2 1/3 = 5 1/6 (км/ч) скорость туриста после первых 25 км

3) 15 : 5 1/6 = 15/31 (ч.) - турист шёл вторые 15 км

4) 3 1/3 + 15/31 = 3 44/93 (ч.) - ответ

НЕ УВЕРЕН

Answer 2

Problem Analysis

The problem states that a tourist walked the first 25 km of the route at a speed of 7 1/2 km/h and the remaining 15 km at a speed that is 2 1/3 times slower. We need to calculate the total time taken for the entire route.

Solution

To find the total time taken for the entire route, we can calculate the time taken for each part of the route and then add them together.

Let's calculate the time taken for the first 25 km: - Speed = 7 1/2 km/h - Distance = 25 km

The formula to calculate time is: time = distance / speed.

Substituting the values, we get: - Time taken for the first 25 km = 25 km / 7 1/2 km/h

Now, let's calculate the time taken for the remaining 15 km: - Speed = 2 1/3 times slower than the previous speed - Distance = 15 km

To calculate the new speed, we need to multiply the previous speed by 2 1/3. Let's convert the mixed fraction to an improper fraction: - 2 1/3 = (2 * 3 + 1) / 3 = 7/3

The new speed is 7/3 times slower than the previous speed. So, the new speed is: - New speed = (7/3) * (7 1/2 km/h)

Now, we can calculate the time taken for the remaining 15 km: - Time taken for the remaining 15 km = 15 km / New speed

Finally, we can find the total time taken by adding the time taken for the first 25 km and the time taken for the remaining 15 km.

Let's calculate the values and find the total time taken.

Calculation

- Time taken for the first 25 km = 25 km / 7 1/2 km/h = 3.33 hours - New speed = (7/3) * (7 1/2 km/h) = 17.5 km/h - Time taken for the remaining 15 km = 15 km / 17.5 km/h = 0.86 hours

The total time taken for the entire route is the sum of the time taken for the first 25 km and the time taken for the remaining 15 km: - Total time taken = 3.33 hours + 0.86 hours = 4.19 hours

Therefore, the route took approximately 4.19 hours for the tourist to complete.

Answer

The route took approximately 4.19 hours for the tourist to complete.