Question

От почты выехал велосипедист со скоростью 12 км/ч вслед за туристом.Сейчас между ними 1,6 км.Турист идёт со скоростью 4 км/ч. Через какое время велосипедист догонит туриста? На каком расстоянии от почты велосипедист догонит туриста?

Answer 1

1,6/(12-4)=0,2 часа=12 минут 0,2*12=1,6+0,2*4=2,4 км

Answer 2

Problem Analysis

We are given that a cyclist is traveling at a speed of 12 km/h and is following a tourist who is walking at a speed of 4 km/h. We need to determine the time it takes for the cyclist to catch up to the tourist and the distance from the starting point (post office) where the cyclist catches 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 cyclist will travel a distance of 12t km, and the tourist will travel a distance of 4t km.

We are given that the initial distance between them is 1.6 km. Therefore, we can set up the following equation:

1.6 km + 12t km = 4t km

Simplifying the equation, we get:

1.6 km = 4t km - 12t km 1.6 km = -8t km t = -0.2 hours

However, since time cannot be negative, we can conclude that the cyclist will never catch up to the tourist. This means that the cyclist will always be behind the tourist, and the distance between them will keep increasing.

Therefore, the cyclist will not catch up to the tourist, and there is no specific distance from the starting point where the cyclist catches up to the tourist.

Answer

The cyclist will not catch up to the tourist, and there is no specific distance from the starting point where the cyclist catches up to the tourist.