Question

Пешеход рассчитал что пройдет путь за 3 часа 50 минут но он увеличил свою скорость на 1 км ч и прошёл путь за 3 часа. Какое расстояние прошёл пешеход

Answer 1

Ответ:

13,8[км]

Пошаговое объяснение:V*23/6=(V+1)*3

  23V/6=3V+3

 23V/6-3V=3

 5V/6=3

 V=3:(5/6)

 V=3.6[км/ч]

(3,6+1)*3=13,8[км]- длина пути

Answer 2

Calculation of the Distance Walked by the Pedestrian

To calculate the distance walked by the pedestrian, we can use the formula:

Distance = Speed × Time

Let's break down the given information:

- The pedestrian initially estimated that they would walk the distance in 3 hours and 50 minutes. - However, they increased their speed by 1 km/h and completed the distance in 3 hours.

To find the distance, we need to calculate the speed at which the pedestrian walked and then multiply it by the time taken.

Calculating the Speed

Let's assume the initial speed of the pedestrian as x km/h.

According to the given information, the pedestrian initially estimated that they would walk the distance in 3 hours and 50 minutes. This can be converted to hours as follows:

3 hours + 50 minutes = 3.83 hours

Using the formula for speed, we can write:

Distance = Speed × Time

The distance can be calculated as:

Distance = x km/h × 3.83 hours

Calculating the Distance

The pedestrian increased their speed by 1 km/h and completed the distance in 3 hours. Using the same formula, we can write:

Distance = Speed × Time

The distance can be calculated as:

Distance = (x + 1) km/h × 3 hours

Since the distance is the same in both cases, we can equate the two expressions for distance:

x km/h × 3.83 hours = (x + 1) km/h × 3 hours

Simplifying the equation:

3.83x = 3x + 3

0.83x = 3

x ≈ 3.61 km/h

Now that we have the initial speed, we can calculate the distance using the formula:

Distance = Speed × Time

Distance = 3.61 km/h × 3.83 hours

Calculating the distance:

Distance ≈ 13.83 km

Therefore, the pedestrian walked approximately 13.83 kilometers.

Please note that the above calculation assumes a constant speed throughout the journey and does not take into account any variations in speed or breaks taken by the pedestrian.