Question

Из пункта А в пункт Б одновременно выехали два автомобиля.Первый проехал с постоянной скоростью весь путь.Второй проехал первую половину пути со скоростью 50 км.ч а вторую половину пути со скоростью на 15 км.ч большей скорости первого в результате чего прибыл в Б одновременно с первым.Скорость первого?

Answer 1

Если понравилось решение - нажимай "спасибо" и "лучший" (рядом с кнопкой "спасибо") :)

Answer 2

Calculation of the First Car's Speed

To determine the speed of the first car, let's assume that the distance between point A and point B is d.

According to the given information, the first car traveled the entire distance at a constant speed. Let's denote the speed of the first car as v.

The second car, on the other hand, traveled the first half of the distance at a speed of 50 km/h and the second half at a speed 15 km/h faster than the first car's speed.

To find the time taken by each car to travel the distance, we can use the formula:

Time = Distance / Speed

For the first car: Time taken by the first car = d / v

For the second car: Time taken by the second car for the first half = (d / 2) / 50 Time taken by the second car for the second half = (d / 2) / (v + 15)

Since both cars arrived at point B simultaneously, the total time taken by both cars should be the same. Therefore, we can equate the two time expressions:

(d / v) = (d / 2) / 50 + (d / 2) / (v + 15)

To solve this equation for v, we can simplify it as follows:

(d / v) = (d / 2) * (1/50 + 1/(v + 15))

Multiplying both sides of the equation by v and 2 to eliminate the denominators:

2d = d * (v + 15) + d * 2

Simplifying further:

2d = dv + 15d + 2d

Canceling out 2d from both sides:

0 = dv + 15d

Factoring out d:

0 = d(v + 15)

Since the distance d cannot be zero, we can conclude that:

v + 15 = 0

Therefore, the speed of the first car (v) is -15 km/h.

However, it is important to note that a negative speed does not make physical sense in this context. Therefore, we can conclude that there is no valid solution for the speed of the first car given the information provided.

Please let me know if there is anything else I can help you with!