Question

Два автомобиля одновременно выехали из города в противоположных направлениях.Скорость первого 80 км/ч это составляло 4/5 скорости другого .Через сколько часов расстояние между ними будет 360 км

Answer 1

Спочатку визначимо швидкість другого автомобіля (80*4)/5=64км/год Потім додамо швидкість першого автомобіля і другого 80+64=144км/год Потім 360/144=2,5 год це час за який автомобілі будуть на відстані 360км

Answer 2

Problem Analysis

We have two cars that start from the same city and travel in opposite directions. The speed of the first car is 80 km/h, which is 4/5 of the speed of the second car. We need to find out how many hours it will take for the distance between them to be 360 km.

Solution

Let's assume the speed of the second car is x km/h. According to the problem, the speed of the first car is 4/5 of the speed of the second car. Therefore, the speed of the first car can be expressed as (4/5) * x km/h.

We know that the distance traveled by a car is equal to the product of its speed and time. So, we can set up the following equation to represent the distance traveled by each car:

Distance traveled by the first car = (4/5) * x * t km Distance traveled by the second car = x * t km

Since the cars are traveling in opposite directions, the sum of their distances should be equal to the total distance between them, which is 360 km:

(4/5) * x * t + x * t = 360

Simplifying the equation:

(4/5 + 1) * x * t = 360 (9/5) * x * t = 360

Now, we can solve for t:

t = 360 / ((9/5) * x)

To find the value of x, we can use the fact that the speed of the first car is 80 km/h, which is 4/5 of the speed of the second car:

(4/5) * x = 80

Simplifying the equation:

x = (5/4) * 80

Now, we can substitute the value of x into the equation for t:

t = 360 / ((9/5) * ((5/4) * 80))

Simplifying further:

t = 360 / (9/5 * 100) t = 360 / (9/500) t = 360 * (500/9) t = 2000

Therefore, it will take 2000 hours for the distance between the two cars to be 360 km.

Answer

It will take 2000 hours for the distance between the two cars to be 360 km.