Question

Из пункта А в пункт Б расстояние между которыми 210 км одновременно выехали два автомобиля. Скорость первого автомобиля на 5 км час больше чем скорости второго то первый автомобиль Пункт назначения прибыл на 12 минут раньше чем второй Найдите скорость каждого автомобиля

Answer 1

Ответ: U1=75(км/ч) , U2=70(км/ч)

Answer 2

This is a mathematical problem that can be solved by using a system of equations. Let me explain how to solve it step by step.

Let x be the speed of the second car in km/h, and y be the time in hours that both cars took to reach point B. Then, the speed of the first car is x + 5 km/h, and the time difference between them is 12 minutes, which is 0.2 hours. We can write two equations based on these information:

- The distance is equal to the speed times the time for both cars: 210 = x * y and 210 = (x + 5) * (y - 0.2) - We can eliminate y by substituting the first equation into the second one: 210 = (x + 5) * (210 / x - 0.2)

Now, we have one equation with one unknown, which we can solve by simplifying and applying the quadratic formula:

- Expand the brackets and move everything to one side: 0 = x^2 + 5x - 1050 - Find the discriminant: D = b^2 - 4ac = 25 + 4 * 1050 = 4225 - Find the roots: x = (-b ± √D) / 2a = (-5 ± 65) / 2 = 30 or -35 - Reject the negative root, since the speed cannot be negative: x = 30 - Find the value of y by plugging x into the first equation: y = 210 / x = 210 / 30 = 7

Therefore, the speed of the second car is 30 km/h, and the speed of the first car is x + 5 = 35 km/h. They reached point B in 7 hours and 6.8 hours, respectively.

I hope this helps you understand how to solve this problem. If you want to see more examples of similar problems, you can check out these web search results .