Question

Пешеход сначала шел в гору со скоростью 3км/ч, потом спусался с неё со скоростью 5км\ч. Найти общий путь проделанный им, если дорога в горку длиннее на 1 км, чем на спуске. Все время 3 часа.

Answer 1

Вот решение.
(х+1)км: 3км/ч - время в гору Х км: 5км/ч - время с горы, всего 3ч уравнение 
(х+1):3+(Х: 5)=3
8х=40
х=5 км

Answer 2

Calculating the Total Distance Traveled by the Pedestrian

To calculate the total distance traveled by the pedestrian, we can use the formula: Total distance = distance uphill + distance downhill.

Let's denote: - Distance uphill as x km - Distance downhill as x - 1 km (as given, the uphill distance is 1 km longer than the downhill distance) - Speed uphill as 3 km/h - Speed downhill as 5 km/h - Total time taken as 3 hours

Using the formula: Total distance = (Speed uphill * Time uphill) + (Speed downhill * Time downhill)

We can calculate the total distance traveled by the pedestrian.

Calculation

Given: - Speed uphill = 3 km/h - Speed downhill = 5 km/h - Total time = 3 hours

Using the formula: Total distance = (3 * Time uphill) + (5 * Time downhill)

We can solve for the time uphill and time downhill using the total time and the fact that the total time is the sum of the time uphill and time downhill.

Let's denote: - Time uphill as t1 hours - Time downhill as t2 hours

We have the following equations: 1. t1 + t2 = 3 (total time) 2. 3t1 + 5t2 = x (total distance)

Solving these equations will give us the values of t1 and t2, and then we can calculate the total distance traveled by the pedestrian.

Solution

Using the given information and the equations, we can solve for the values of t1 and t2, and then calculate the total distance traveled by the pedestrian.

Let's proceed with the calculations.