Question

Автомобіль першу третину шляху проїхав за одну четверту частину усього часу руху. Середня швидкість автомобіля на всьому шляху 54 км/год. З якими швидкостями рухався автомобіль на першій і другій ділянках шляху, якщо на кожній ділянці він рухався з постійною швидкістю? відповідь

Answer 1

Ответ:

Дано: Розв'язання

v сер.=54 км/год v сeр.=t1+t2:L1+L2

t1=4:t L2=L-L1

L1=3:l t2=t-t1

Answer 2

Problem Analysis

We are given that a car traveled the first third of the distance at one-fourth of the total time. The average speed of the car for the entire journey is 54 km/h. We need to find the speeds at which the car traveled on the first and second segments of the journey, assuming a constant speed on each segment.

Solution

Let's assume that the total distance traveled by the car is D, and the total time taken is T. We are given that the car traveled the first third of the distance in one-fourth of the total time. Therefore, the time taken to travel the first third of the distance is T/4.

We can set up the following equation to represent the average speed of the car for the entire journey: Average speed = Total distance / Total time

Since the average speed is given as 54 km/h, we can write: 54 = D / T

We also know that the time taken to travel the first third of the distance is T/4. Therefore, the distance traveled in the first third of the journey is (1/3) * D. We can write: T/4 = (1/3) * D

Simplifying the equation, we get: T = (4/3) * (1/4) * D T = (1/3) * D

Now, we can substitute the value of T in the equation for average speed: 54 = D / ((1/3) * D)

Simplifying the equation, we get: 54 = 3

This equation is not possible to solve, as it leads to an inconsistency. Therefore, there is no solution to this problem.

Conclusion

Based on the given information, it is not possible to determine the speeds at which the car traveled on the first and second segments of the journey. The equation derived from the given information leads to an inconsistency, indicating that the problem is not solvable.