Question

Два велосипедиста отправляются одновременно навстречу друг другу из двух пунктов, расстояние между которыми 60 км, и встречаются через 2 ч. Определите с корость каждого велосипедиста, если у одного она на 2 км/ч больше, чем у другого.

Answer 1

Скорость первого х км/час
Скорость второго (х + 2) км/час
(х + х + 2) * 2 = 60
(2х + 2) * 2 = 60
2х + 2 = 60  : 2
2х =30
х = 30 : 2
х =15 км/час- скорость первого велосипедиста 
15 + 2 = 17 км/час - скорость второго велосипедиста

Answer 2

Problem Analysis

We have two cyclists starting simultaneously from two different points and meeting each other after 2 hours. The distance between the two points is 60 km. One cyclist has a speed that is 2 km/h faster than the other. We need to determine the speed of each cyclist.

Solution

Let's assume the speed of the slower cyclist is x km/h. Then the speed of the faster cyclist would be x + 2 km/h.

We can use the formula distance = speed × time to calculate the distance traveled by each cyclist.

For the slower cyclist: - Speed = x km/h - Time = 2 hours - Distance = x × 2 km

For the faster cyclist: - Speed = x + 2 km/h - Time = 2 hours - Distance = (x + 2) × 2 km

Since the total distance between the two points is 60 km, we can set up the equation:

(x × 2) + ((x + 2) × 2) = 60

Simplifying the equation: 2x + 2(x + 2) = 60 2x + 2x + 4 = 60 4x + 4 = 60 4x = 56 x = 14

Therefore, the speed of the slower cyclist is 14 km/h and the speed of the faster cyclist is 16 km/h.

Answer

The speed of the slower cyclist is 14 km/h and the speed of the faster cyclist is 16 km/h.