Question

Из поселка вышел турист со скоростью 4 км\ч Через час вслед за ним выехал велосипедист со скоростью,большей в 2 раза.За сколько велосипедист догонит туриста?

Answer 1

V велосипедиста 8 км/ч
за один час турист прошел 4 км, а велосипедист 0
через час турист прошел 8 км, а велосипедист 8 км
следовательно, велосипедист догонит туриста через час, после выхода велосепедиста

Answer 2

Problem Analysis

We are given that a tourist leaves a village with a speed of 4 km/h, and after an hour, a cyclist leaves the village with a speed twice that of the tourist. We need to determine how long it will take for the cyclist to catch up to the tourist.

Solution

Let's assume that the time it takes for the cyclist to catch up to the tourist is t hours. During this time, the tourist will have traveled a distance of 4t km, and the cyclist will have traveled a distance of 2 * 4t = 8t km.

Since the cyclist catches up to the tourist, the distance traveled by both will be the same. Therefore, we can set up the equation:

4t = 8t

Simplifying the equation, we get:

4t = 8t 0 = 8t - 4t 0 = 4t

Since the equation simplifies to 0 = 4t, we can conclude that t = 0. This means that the cyclist catches up to the tourist instantly.

Answer

The cyclist will catch up to the tourist instantly.