Question

Из пункта А в пункт Б выехал автомобиль "Волга" со скоростью 80км/ч. В тоже время из пункта Б в пункт А ему навстречу выехал автомобиль "Жигули". В 12ч дня машины проехали мимо друг друга. В 12ч 32мин "Волга" прибыла в пункт Б, а ещё через 18 мин "Жигули" прибыли в пункт А. Вычислите скорость "Жигулей".

Answer 1

a - расстояние от А до места встречи.
b - расстояние от Б до места встречи.
x - скорость "Жигулей".

Система:

a/80 = b/x
a = (32 + 18)x
b = 32 * 80

Подставляем a и b в первое уравнение;
получаем:  
50x/80 = (32 × 80)/x
50x² = 32 × 80²
x = √4096  
x = 64 (км/ч).

Answer 2

Пусть  время встречи  встречи будет T, а скорость жигулей = х. Волга после встречи пройдет расстояние  80*(32/60) = 42,66 км  Жигули его же за 42,66=Т*х
значит Т=42,66/х
Волга до встречи пройдет расстояние 80*Т, а жигули его же пройдут за х*(50/60) значит 80*Т=х*(50/60)
подставляем вместо Т    Т=42,66/х  
80*42,66/х=х*(50/60)
$x^{2}$= 80*42,66/(50/60)=4095,36
х=$\sqrt{4095,36}$ = 64 км/час

Answer 3

Calculation of the Speed of the "Жигули" Car

To calculate the speed of the "Жигули" car, we need to use the information provided in the question. Let's break down the given information:

- The "Волга" car traveled from point A to point B at a speed of 80 km/h. - At the same time, the "Жигули" car traveled from point B to point A. - The cars passed each other at 12:00 PM. - The "Волга" car arrived at point B at 12:32 PM. - The "Жигули" car arrived at point A 18 minutes after the "Волга" car arrived at point B.

To calculate the speed of the "Жигули" car, we can use the formula:

Speed = Distance / Time

Let's calculate the time it took for the "Жигули" car to travel from point B to point A:

- The "Волга" car traveled from point A to point B in 32 minutes (12:00 PM to 12:32 PM). - The "Жигули" car arrived at point A 18 minutes after the "Волга" car arrived at point B.

Therefore, the total time for the "Жигули" car to travel from point B to point A is 32 minutes + 18 minutes = 50 minutes.

Now, let's calculate the distance between point A and point B:

Since we don't have the exact distance between point A and point B, we cannot calculate the speed of the "Жигули" car accurately. However, we can make an estimation based on the information provided.

According to search result snippet the average speed of a car is around 40-45 km/h. Let's assume the average speed of the "Жигули" car is 42.5 km/h.

Using the formula:

Speed = Distance / Time

We can rearrange the formula to solve for distance:

Distance = Speed * Time

Substituting the values:

Distance = 42.5 km/h * (50 minutes / 60 minutes)

Calculating the distance:

Distance = 35.42 km

Therefore, based on the estimation, the distance between point A and point B is approximately 35.42 km.

Now, we can calculate the speed of the "Жигули" car:

Speed = Distance / Time

Substituting the values:

Speed = 35.42 km / (50 minutes / 60 minutes)

Calculating the speed:

Speed = 42.5 km/h

Therefore, based on the estimation, the speed of the "Жигули" car is approximately 42.5 km/h.

Please note that this calculation is based on estimations and assumptions. The actual speed and distance may vary depending on the specific circumstances and conditions of the journey.