Question

Автомобиль первую половину пути прощел со скоростью 60 км/ч, оставшуюся одну четверь он прошел со скоростью 40 км ч а вторую четверть 50км/ч, Найти средню скорость движения на протяжении всего пути.

Answer 1

$\frac{S}{\frac{0.5S}{60}+ \frac{0.25S}{40}+ \frac{0.25S}{50}}$ ,что приблизительно равно 51 километру.

Answer 2

Calculation of Average Speed

To find the average speed of the car for the entire journey, we need to calculate the total distance traveled and the total time taken.

Let's break down the journey into different segments:

- The car traveled the first half of the distance at a speed of 60 km/h. - The car traveled the next quarter of the distance at a speed of 40 km/h. - The car traveled the final quarter of the distance at a speed of 50 km/h.

To calculate the average speed, we need to find the total distance and the total time taken.

Calculation of Total Distance

Let's assume the total distance traveled by the car is D.

- The first half of the distance is D/2. - The next quarter of the distance is D/4. - The final quarter of the distance is also D/4.

Therefore, the total distance traveled is:

D = D/2 + D/4 + D/4

Simplifying the equation:

D = D/2 + 2D/4

D = D/2 + D/2

D = D

This means that the total distance traveled is equal to D.

Calculation of Total Time

To calculate the total time taken, we need to find the time taken for each segment of the journey.

- The first half of the distance was traveled at a speed of 60 km/h. - The next quarter of the distance was traveled at a speed of 40 km/h. - The final quarter of the distance was traveled at a speed of 50 km/h.

Let's assume the time taken for each segment is t1, t2, and t3 respectively.

The time taken for each segment can be calculated using the formula:

Time = Distance / Speed

- For the first half of the distance: t1 = (D/2) / 60 - For the next quarter of the distance: t2 = (D/4) / 40 - For the final quarter of the distance: t3 = (D/4) / 50

Calculation of Average Speed

The average speed can be calculated using the formula:

Average Speed = Total Distance / Total Time

Substituting the values we calculated earlier:

Average Speed = D / (t1 + t2 + t3)

Now, let's calculate the average speed using the given information.

Calculation:

Given: - Speed for the first half of the distance = 60 km/h - Speed for the next quarter of the distance = 40 km/h - Speed for the final quarter of the distance = 50 km/h

Using the formulas above, we can calculate the average speed.

Total Distance (D) = D

Time for the first half of the distance (t1) = (D/2) / 60

Time for the next quarter of the distance (t2) = (D/4) / 40

Time for the final quarter of the distance (t3) = (D/4) / 50

Average Speed = D / (t1 + t2 + t3)

Unfortunately, the specific value of D (total distance) is not provided in the question. Without this information, we cannot calculate the average speed accurately. Could you please provide the total distance traveled by the car?