Question

3. Расстояние от города А до городаВ машина проехала за 4 ч, а мотоцикли — за 7 ч. Скорость машины на 26,7 км/ч больше скорости мотоцикла. Чему равно расстояние от города А до города В?​

Answer 1

Пусть х км - расстояние от А до В, тогда х/4 км/ч - скорость машины, х/7 км/ч - скорость мотоцикла. Скорость машины на 26,7 км/ч больше. Уравнение:

х/4 - х/7 = 26,7

7х - 4х = 26,7 · 4 · 7

3х = 747,6

х = 746,6 : 3

х = 249,2

Ответ: 249 км 200 м.

Проверка:

249,2 : 4 = 62,3 км/ч - скорость автомобиля

249,2 : 7 = 35,6 км/ч - скорость мотоцикла

62,3 - 35,6 = 26,7 км/ч - разница

Answer 2

Calculation of the Distance from City A to City B

To calculate the distance from City A to City B, we need to use the information provided about the speeds and travel times of a car and a motorcycle.

Let's denote the distance from City A to City B as d.

Given: - The car traveled the distance in 4 hours. - The motorcycle traveled the distance in 7 hours. - The car's speed is 26.7 km/h faster than the motorcycle's speed.

To find the distance, we can set up the following equation:

d = car speed × car travel time = motorcycle speed × motorcycle travel time

Let's denote the car's speed as v_car and the motorcycle's speed as v_motorcycle.

From the given information, we know that:

v_car = v_motorcycle + 26.7 km/h

Substituting this into the equation, we have:

d = (v_motorcycle + 26.7) × 4 = v_motorcycle × 7

Now we can solve this equation to find the value of d.

Solution:

To solve the equation, we can use algebraic manipulation.

Expanding the equation, we have:

4v_motorcycle + 106.8 = 7v_motorcycle

Rearranging the terms, we get:

7v_motorcycle - 4v_motorcycle = 106.8

Simplifying, we have:

3v_motorcycle = 106.8

Dividing both sides by 3, we find:

v_motorcycle = 35.6 km/h

Substituting this value back into the equation, we can find the distance:

d = (35.6 + 26.7) × 4 = 62.3 × 4 = 249.2 km

Therefore, the distance from City A to City B is 249.2 km.

Please note that the calculation is based on the information provided in the question, and the accuracy of the answer depends on the accuracy of the given data.