Question

Из двух деревень расстояние между которыми 46 км одновременно навстречу друг другу выехали 2 всадника и встретились через 2часа. Найди скорость каждого всадника если скорость одного на 3км/ч больше скорости второго

Answer 1

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Answer 2

Problem Analysis

We are given that two riders start simultaneously from two villages that are 46 km apart and ride towards each other. After 2 hours, they meet. We need to find the speed of each rider, given that the speed of one rider is 3 km/h faster than the speed of the other rider.

Solution

Let's assume the speed of the slower rider is x km/h. Then the speed of the faster rider would be x + 3 km/h.

We can use the formula speed = distance / time to find the distance traveled by each rider.

The slower rider travels for 2 hours at a speed of x km/h, so the distance traveled by the slower rider is 2x km.

The faster rider also travels for 2 hours at a speed of x + 3 km/h, so the distance traveled by the faster rider is 2(x + 3) km.

Since they meet after 2 hours, the sum of the distances traveled by both riders should be equal to the total distance between the villages, which is 46 km.

Therefore, we can write the equation:

2x + 2(x + 3) = 46

Simplifying the equation:

2x + 2x + 6 = 46

4x + 6 = 46

4x = 40

x = 10

So, the speed of the slower rider is 10 km/h and the speed of the faster rider is 10 + 3 = 13 km/h.

Answer

The speed of the slower rider is 10 km/h and the speed of the faster rider is 13 km/h.