Question

турист и велосипедист отправились одновременно от турбазы до станции велосипедист ехал со скоростью 6 км/ч турист шел со скоростью 4 км/ч турист затратил на дорогу на 1 час больше чем велосипедист определите время в пути туриста и велосипедиста

Answer 1

Прикрепляю фото с решением, туда входит и краткий чертеж и решение

Answer 2

Problem Analysis

We are given that a tourist and a cyclist set off simultaneously from a tourist base to a station. The cyclist travels at a speed of 6 km/h, while the tourist walks at a speed of 4 km/h. The tourist takes 1 hour longer than the cyclist to complete the journey. We need to determine the time it took for both the tourist and the cyclist to travel.

Solution

Let's assume the time taken by the cyclist to travel is t hours. Since the distance traveled by both the cyclist and the tourist is the same, we can set up the following equation:

Distance traveled by the cyclist = Distance traveled by the tourist

Using the formula distance = speed × time, we can express the distances traveled by the cyclist and the tourist in terms of their respective speeds and times:

6t = 4(t + 1)

Simplifying the equation:

6t = 4t + 4

2t = 4

t = 2

Therefore, the cyclist took 2 hours to travel, and the tourist took 2 + 1 = 3 hours to travel.

Answer

The cyclist took 2 hours to travel, and the tourist took 3 hours to travel.