Question

Машина прошла первый участок пути за 3 часа, а второй участок- за 2 часа. Длина обоих участков вместе 267 км. С какой скоростью шла машина на каждом участке, если скорость на втором участке была на 8,5 км в час больше, чем на первом?

Answer 1

1)8,5км*2ч=17км это на 17км больше прошла на 2участке (который 2часа); 2)267-17=250км это остальное за 5часов; 3)250км:5ч=50км/час скорость на первом участке; 4)50км+8,5км=58,5км/час скорость на 2участке; ответ:на 1участке шла скоростью 50км/час и на 2учаске 58,5км/час

Answer 2

Problem Analysis

We are given that a car traveled the first segment of the road 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 was 8.5 km/h faster than on the first segment. We need to find the speed of the car on each segment.

Solution

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

We can use the formula speed = distance / time to find the speed on each segment.

The distance traveled on the first segment is unknown, so let's call it d1 km. The distance traveled on the second segment is 267 - d1 km.

Using the formula, we can set up the following equations:

1. d1 = x * 3 (distance = speed * time) 2. 267 - d1 = (x + 8.5) * 2 (distance = speed * time)

Now we can solve these equations to find the values of x and d1.

Calculation

Let's solve the equations:

1. d1 = x * 3 2. 267 - d1 = (x + 8.5) * 2

Substituting equation 1 into equation 2:

267 - (x * 3) = (x + 8.5) * 2

Simplifying the equation:

267 - 3x = 2x + 17

Bringing like terms to one side:

267 - 17 = 2x + 3x

250 = 5x

Dividing both sides by 5:

x = 50

Now we can substitute the value of x back into equation 1 to find d1:

d1 = 50 * 3

d1 = 150

Answer

Therefore, the car was traveling at a speed of 50 km/h on the first segment and at a speed of 58.5 km/h on the second segment.