Question

Из двух городов расстояние между которыми 208 километров выехали одновременно навстречу друг другу два велосипедиста и встретились через 8 часов Скорость одного из них 14 километров час Определите скорость второго велосипедиста

Answer 1

14 км/ч - скорость 1го
х км/ч - скорость 2го
14+х - скорость сближения

S=v*t

1) (14+х)*8=208
    14+х=208:8
    14+х=26
    х=26-14
    х=12 км/ч - скорость 2го.
    

Answer 2

Problem Analysis

We are given that two cyclists start from two different cities and travel towards each other. The distance between the cities is 208 kilometers. We also know that they meet each other after 8 hours. One cyclist has a speed of 14 kilometers per hour. We need to determine the speed of the second cyclist.

Solution

Let's assume the speed of the second cyclist is x kilometers per hour.

Since the two cyclists are traveling towards each other, their combined speed will be the sum of their individual speeds. Therefore, the combined speed of the two cyclists is 14 + x kilometers per hour.

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

The distance traveled by the first cyclist is 14 × 8 = 112 kilometers.

The distance traveled by the second cyclist is x × 8 = 8x kilometers.

Since they meet each other after 8 hours, the sum of the distances traveled by both cyclists should be equal to the total distance between the cities, which is 208 kilometers.

Therefore, we can set up the following equation:

112 + 8x = 208

Now, let's solve this equation to find the value of x.

Calculation

112 + 8x = 208

Subtract 112 from both sides:

8x = 208 - 112

8x = 96

Divide both sides by 8:

x = 96 / 8

x = 12

Answer

The speed of the second cyclist is 12 kilometers per hour.