Question

Автомобиль из города А до города Б проезжает половину времени с постоянной скоростью за 60 км/час. Если его средняя скорость будет равна 65 км/час то за остальное время какая будет у него постоянная скорость? Ответ: 70 км/час

Answer 1

Так как t1=t2=t/2

то Vср=(V1+V2)/2
V2=2*Vср-V1=2*65-60=70 км/ч

Ответ V2=70 км/ч

Answer 2

Calculation of Constant Speed

To find the constant speed at which the car will travel for the remaining time, we can use the formula:

Average Speed = Total Distance / Total Time

Given that the car travels half the time at a constant speed of 60 km/h, we can calculate the total distance covered during that time. Let's assume the total time taken for the journey is t hours.

The distance covered at a speed of 60 km/h is 60 * (t/2) = 30t km.

The remaining time for the journey is also t/2 hours.

Now, we can calculate the constant speed at which the car will travel for the remaining time using the formula:

Average Speed = Total Distance / Total Time

Substituting the values, we have:

65 = Total Distance / (t/2)

Simplifying the equation, we get:

Total Distance = 65 * (t/2) = 32.5t

Since the total distance covered during the entire journey is the sum of the distances covered during the first half and the remaining time, we have:

Total Distance = 30t + Constant Speed * (t/2)

Equating the two expressions for the total distance, we can solve for the constant speed:

32.5t = 30t + Constant Speed * (t/2)

Simplifying the equation, we get:

2.5t = Constant Speed * (t/2)

Dividing both sides of the equation by t/2, we have:

2.5 = Constant Speed

Therefore, the constant speed at which the car will travel for the remaining time is 70 km/h.

Answer

If the car's average speed is 65 km/h, then the constant speed at which it will travel for the remaining time is 70 km/h.