Question

Відстань між двома містами 380 км. Від кожного з них одночасно назустріч один одному виїхали два автомобілі. Через скільки годин іони зустрінуться, якщо швидкість другого автомобіля 80 км/год, що становить 8/11 швидкисті першого? Терміново даю 40 балів

Answer 1

Ответ:

Назовем скорость первой машины «v1». Мы знаем, что скорость второго автомобиля 80 км/ч и 8/11 скорости первого автомобиля, поэтому:

v1 = (80 * 11) / 8 = 110 км/ч

Суммарная скорость двух автомобилей равна v1 + 80 = 110 + 80 = 190 км/ч.

Расстояние между двумя городами составляет 380 км, поэтому время, необходимое для встречи автомобилей, можно рассчитать как:

t = 380 / (190 / час) = 380 / (190 / 60 минут / час) = 380 * 60 / 190 минут = 208 минут. 3 ч 25мин

Answer 2

To find the time it takes for the two cars to meet, we can set up an equation based on their speeds and the distance between them. Let's denote the speed of the first car as x km/h and the speed of the second car as 80 km/h.

We know that the distance between the two cities is 380 km. Since the cars are traveling towards each other, their combined distance traveled will be equal to the total distance between the cities.

The equation we can set up is:

Distance traveled by the first car + Distance traveled by the second car = Total distance

To find the distance traveled by each car, we can use the formula Distance = Speed × Time.

For the first car, the distance traveled is x × Time. For the second car, the distance traveled is 80 × Time.

Substituting these values into the equation, we get:

x × Time + 80 × Time = 380

Simplifying the equation, we have:

(x + 80) × Time = 380

To find the value of x, we are given that the speed of the second car is 8/11 times the speed of the first car. Therefore, we can write:

80 = (8/11) × x

Solving this equation, we find:

x = (11/8) × 80 = 110

Substituting this value back into the equation, we have:

(110 + 80) × Time = 380

Simplifying further, we get:

190 × Time = 380

Dividing both sides of the equation by 190, we find:

Time = 380 / 190 = 2 hours

Therefore, the two cars will meet after 2 hours.

Please note that the answer provided is based on the information given in the question.