Question

Два автомобиля вышли одновременно навстречу друг другу встретившись через 5 часов они продолжили свой путь не останавливаясь через 3 часа после встречи расстояние между ними было 135 км и за это время второй прошел на 15 км больше первого сколько времени после встречи потребуется второму автомобилю для завершения своего пути

Answer 1

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Answer 2

Given Information

Two cars met each other after 5 hours and continued their journey without stopping. After 3 hours from the meeting, the distance between them was 135 km, and during this time, the second car traveled 15 km more than the first one.

Solution

Let's denote the speed of the first car as x km/h and the speed of the second car as y km/h.

The total distance traveled by the first car is 5x (5 hours at speed x), and the total distance traveled by the second car is 5y (5 hours at speed y).

After the meeting, the first car traveled for 3 more hours, so its total distance traveled is 5x + 3x = 8x, and the second car traveled for 3 more hours, so its total distance traveled is 5y + 3y = 8y.

We are given that the distance between them after 3 hours from the meeting was 135 km, and during this time, the second car traveled 15 km more than the first one. This gives us the equation: 8y - 8x = 135 (1) and y - x = 15 (2)

We can solve these two equations to find the speeds of the cars.

Solving the Equations

From equation (2), we can express y in terms of x: y = x + 15

Substitute this expression for y into equation (1): 8(x + 15) - 8x = 135

Simplify and solve for x: 8x + 120 - 8x = 135 120 = 135 This is not possible, so there might be an error in the given information or the equations derived from it.

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