Question

Из города А в город в город В, расстояние между которыми 120 км, выехали одновременно два велосипедиста .Скорость первого на 3 км/ч больше второго, поэтому он прибыл в город В на 2 часа раньше. Определите скорости велосипедистов.

Answer 1

Скорость первого Х+3
скорость второго х
s=120 (расстояние)
t=s\x+3
t=s\x
120/x +2 = 120/(x-3). 
Домножаем на (Х+3)Х 
120(х-3) +2х^2(х+6) =120x
Дальше получается квадратное уравнение, находишь корни и выбираешь только положительный. 
возможно где-то ошиблась в расчетах . перепроверь 

Answer 2

Problem Analysis

We have two cyclists who start simultaneously from city A to city B, with a distance of 120 km between them. The first cyclist arrives in city B 2 hours earlier than the second cyclist. The speed of the first cyclist is 3 km/h faster than the speed of the second cyclist. We need to determine the speeds of both cyclists.

Solution

Let's assume the speed of the second cyclist is x km/h. Therefore, the speed of the first cyclist is x + 3 km/h.

We can use the formula distance = speed × time to calculate the time taken by each cyclist to travel from city A to city B.

For the first cyclist: - Distance = 120 km - Speed = x + 3 km/h - Time = 120 / (x + 3) hours

For the second cyclist: - Distance = 120 km - Speed = x km/h - Time = 120 / x hours

According to the problem, the first cyclist arrives 2 hours earlier than the second cyclist. Therefore, we can set up the equation:

120 / (x + 3) = 120 / x + 2

To solve this equation, we can cross-multiply and simplify:

120x = 120(x + 3) + 2x(x + 3)

Simplifying further:

120x = 120x + 360 + 2x^2 + 6x

Combining like terms:

0 = 2x^2 + 6x + 360

Now, we can solve this quadratic equation for x using the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 2, b = 6, and c = 360.

Solving for x:

x = (-6 ± √(6^2 - 4 * 2 * 360)) / (2 * 2)

Simplifying further:

x = (-6 ± √(36 - 2880)) / 4

x = (-6 ± √(-2844)) / 4

Since the value inside the square root is negative, there are no real solutions for x. This means that there is no valid solution for the problem as stated.

Therefore, we cannot determine the speeds of the two cyclists based on the given information.

Conclusion

Based on the given information, we cannot determine the speeds of the two cyclists. The problem seems to have some inconsistencies or missing information.