Question

Решите пожалуйста эту задачу ПО ДЕЙСТВИЯ не уравнением! Машина прошла первый участок пути за 3 ч, а второй участок — за 2 ч. Длина обоих участков вместе 267 км. С какой скоростью шла машина на каждом участке, если скорость на втором участке была на 8,5 км/ч больше, чем на первом?

Answer 1

Найдем на сколько больше протяженность второго участка пути
8,5*2=17 км
вычтем из всего пути величину превышения второго участка
267-17=250 км
найдем суммарное время в пути
3+2=5 ч
найдем скорость на первом участке
250:5=50 км/ч
найдем скорость на втором участке
50+8,5=58,5 км/ч

Answer 2

Problem Analysis

To solve this problem, we need to find the speed of the car on each segment of the road. We are given that the car traveled the first segment in 3 hours and the second segment in 2 hours. The total length of both segments is 267 km. The speed on the second segment is 8.5 km/h higher than the speed on the first segment.

Solution

Let's assume the speed on the first segment is x km/h. Since the speed on the second segment is 8.5 km/h higher, the speed on the second segment is x + 8.5 km/h.

To find the distance traveled on each segment, we can use the formula: distance = speed × time.

For the first segment, the distance is 267 km and the time is 3 hours. So, we have the equation: x × 3 = 267.

For the second segment, the distance is 267 km and the time is 2 hours. So, we have the equation: (x + 8.5) × 2 = 267.

Now, let's solve these equations to find the value of x and x + 8.5.

Solving the Equations

From the first equation, we can solve for x: x × 3 = 267 Dividing both sides by 3: x = 267 / 3 x = 89

Now, we can substitute the value of x into the second equation to find x + 8.5: (89 + 8.5) × 2 = 267 97.5 × 2 = 267 195 = 267

Answer

After solving the equations, we find that x = 89 km/h and x + 8.5 = 97.5 km/h. Therefore, the car was traveling at a speed of 89 km/h on the first segment and 97.5 km/h on the second segment.

Please let me know if you need any further assistance!