Question

два велосипедиста выехали навстречу друг другу из двух поселков,расстояние между которыми 76 км.через 2 часа они встретились.какова скорость каждого велосипедиста,если известно,что скорость одного на 3.5 км/ч меньше,чем у другого.

Answer 1

Решение неверное.

Пустьскорость одноговелосипедиста х, тогда второго (х-3,5)

Первый проехал 2х км, а второй 2(х-3,5), а вместе 76км.

2х + 2(х-3,5)=76

4х-7=76

4х=83  х = 83 : 4 = 20,75

х=20,75 км/ч скорость первого велосипедиста

(х-3,5)=17,25 скорость второго велосипедиста

 

Проверка: 20,75 х 2 + 17,25 х 2 = 41,5 + 34,5 = 76

Answer 2

Problem Analysis

Two cyclists start from two different villages and ride towards each other. The distance between the villages is 76 km. After 2 hours, they meet each other. We need to determine the speed of each cyclist given that one cyclist's speed is 3.5 km/h less than the other.

Solution

Let's assume the speed of the first cyclist is x km/h. According to the given information, the speed of the second cyclist is x - 3.5 km/h.

We can calculate the distance covered by each cyclist using the formula: distance = speed × time.

The first cyclist covers a distance of x × 2 km in 2 hours, and the second cyclist covers a distance of (x - 3.5) × 2 km in 2 hours.

Since they meet each other after 2 hours, the sum of the distances covered by both cyclists should be equal to the total distance between the villages, which is 76 km.

Therefore, we can write the equation: (x × 2) + ((x - 3.5) × 2) = 76.

Let's solve this equation to find the value of x.

Calculation

Expanding the equation: 2x + 2(x - 3.5) = 76

Simplifying the equation: 2x + 2x - 7 = 76 4x - 7 = 76

Adding 7 to both sides: 4x = 83

Dividing both sides by 4: x = 20.75

Answer

The speed of the first cyclist is 20.75 km/h, and the speed of the second cyclist is 17.25 km/h.

Please note that the above solution is based on the given information and calculations.