Question

Скорость движения мотоциклиста на второй половине пути была на 30% больше, чем на первой.Определите скорость движения мотоциклиста на первой половине пути ,если средняя скорость движения мотоциклиста на всём пути 52 километра?

Answer 1

Что значит скорость движения на всем протяжении 52 километра?
если это средняя скорость то 52км/ч. тогда смотри
1. Средняя скорость Vcр=52км/ч у нас есть два участка пути. то есть делим 52км/ч : 2 = 26км/ч - получаем среднюю скорость на двух участках!
2. находим 30% от средней скорости одного участка 26* 0,3 (30%)= 7,8км/ч
3. Если скорость на втором участке больше на 30% скорости чем на первом, тогда к средней скорости второго участка прибавляем эти 30% то есть 26+7,8=33,8км/ч
4. тогда скорость на первом участке будет на 30% ниже средней скорости одного участка то есть 26-7,8=18,2км/ч.
5 Проверка средней скорости 33,8+18,2=52км/час.
Ответ: Скорость на первой половине пути = 33,8км/ч.

Answer 2

Calculating the Speed of the Motorcyclist on the First Half of the Journey

To determine the speed of the motorcyclist on the first half of the journey, we can use the following approach:

Let's assume the speed of the motorcyclist on the first half of the journey is x km/h. Then, the speed on the second half of the journey would be 1.3x km/h (30% more than the speed on the first half).

We know that the average speed for the entire journey is 52 km/h.

Using the formula for average speed: Average speed = Total distance / Total time

We can express the total distance as the sum of the distances covered in the first and second halves of the journey. The total time can be expressed as the sum of the times taken for the first and second halves of the journey.

Let's proceed with the calculation.

Calculation

Let's denote the total distance as d km and the total time as t hours.

The total distance is covered at an average speed of 52 km/h, so: d = 52t

The time taken for the first half of the journey is t1 hours, and the time taken for the second half of the journey is t2 hours.

The distance covered in the first half of the journey is (x * t1) km, and the distance covered in the second half of the journey is (1.3x * t2) km.

We can express the total distance in terms of the distances covered in the first and second halves of the journey: d = (x * t1) + (1.3x * t2)

We also know that the total time is the sum of the times taken for the first and second halves of the journey: t = t1 + t2

We have two equations: 1. d = 52t 2. d = (x * t1) + (1.3x * t2)

We can solve these equations to find the value of x.

Solution

Using the given information and the equations above, we can solve for x to find the speed of the motorcyclist on the first half of the journey.