Question

Если автомобиль из пункта А выедет со скоростей 50 км/ч, то он прибудет в пункт В в назначенное время.Если автомобиль увеличит скорость на 10 км/ч, то он прибудет в пункт В на 1ч раньше назначенного времени.Найдите расстояние между пунктами А и В

Answer 1

50+10=60км/ч увеличенная скорость
х-время с увеличенной скоростью
х+1 время с обычной скоростью
60х=50(х+1)
60х=50х+50
10х=50
х=5
5*60=300км
ответ: 300 км

Answer 2

Calculation of Distance between Points A and B

To find the distance between points A and B, we need to use the given information about the car's speed and arrival time.

Let's assume that the car takes time 't' to travel from point A to point B at a speed of 50 km/h. According to the given information, if the car increases its speed by 10 km/h, it will arrive at point B 1 hour earlier than the originally scheduled time.

Using this information, we can set up the following equation:

Distance / Speed = Time

For the original speed of 50 km/h: Distance / 50 = t

For the increased speed of 60 km/h: Distance / 60 = t - 1

To solve this system of equations, we can use substitution or elimination.

Let's use substitution to solve for the distance:

From the first equation, we can express the distance in terms of time: Distance = 50t

Substituting this into the second equation: (50t) / 60 = t - 1

Simplifying the equation: 50t = 60(t - 1)

Expanding and simplifying further: 50t = 60t - 60

Rearranging the equation: 10t = 60

Solving for t: t = 6

Now that we have the value of t, we can substitute it back into the first equation to find the distance:

Distance = 50t = 50 * 6 = 300 km

Therefore, the distance between points A and B is 300 km.

Please note that the above calculation assumes a constant speed throughout the journey and does not take into account factors such as traffic, road conditions, or stops along the way.