Question

Расстояние между двумя селами=16 км.Из этих сел одновременно в одном направлении выехали 2 велосипедиста.1 велосипедист выехал впереди со скоростью 12 км/час,а 2-20 км/час.Через сколько часов после начала движения 2 догонит 1?

Answer 1

1)20-12=8 км/час скорость сближения
2)16:8=2 часа
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Answer 2

Problem Analysis

We are given that the distance between two villages is 16 km. Two cyclists start simultaneously from these villages in the same direction. The first cyclist has a speed of 12 km/h, while the second cyclist has a speed of 20 km/h. We need to determine how many hours it will take for the second cyclist to catch up with the first cyclist.

Solution

Let's assume that the time it takes for the second cyclist to catch up with the first cyclist is t hours.

During this time, the first cyclist will have covered a distance of 12t km, and the second cyclist will have covered a distance of 20t km.

Since the distance between the two villages is 16 km, we can set up the following equation:

12t + 16 = 20t

Simplifying the equation, we get:

16 = 8t

Solving for t, we find:

t = 2

Therefore, it will take 2 hours for the second cyclist to catch up with the first cyclist.

Answer

The second cyclist will catch up with the first cyclist after 2 hours.

Explanation

After 2 hours, the first cyclist will have covered a distance of 12 km, and the second cyclist will have covered a distance of 20 km. At this point, the second cyclist will have caught up with the first cyclist, and they will be at the same position.