Question

Расстояние между двумя городами мотоциклист проехал за 3 часа. За первый час он проехал 0,3 всего пути, за второй- 16/35 оставшегося, а за третий- на 10,5 км больше, чем второй. Найдите расстояние между городами.

Answer 1

Х-весь путь    0,3 х - в первый час  проехал
 х-0,3х=0,7х-оставшийся путь 16/35 от 0,7х=0,32х-это во второй час
0,32х+10,5 - в третий час

0,3 х+0,32х+0,32х+10,5=х
10,5=х-0,94х
0,06х=10,5
х=175 км расстояние между городами

Answer 2

Calculating the Distance Between Two Cities

To calculate the distance between the two cities, we can use the information provided about the motorcyclist's journey.

The motorcyclist traveled for 3 hours and covered different proportions of the total distance during each hour. Let's calculate the total distance between the two cities based on the given information.

1. Calculating the Distance: - The motorcyclist traveled 0.3 of the total distance in the first hour, 16/35 of the remaining distance in the second hour, and 10.5 km more than the second hour in the third hour.

2. Calculations: - Let's denote the total distance as D. - In the first hour, the motorcyclist traveled 0.3D. - In the second hour, the motorcyclist traveled (16/35)(D - 0.3D) = (16/35)(0.7D). - In the third hour, the motorcyclist traveled (16/35)(0.7D) + 10.5 km.

3. Equation: - Adding up the distances traveled in each hour, we get the equation: 0.3D + (16/35)(0.7D) + (16/35)(0.7D) + 10.5 = D.

4. Solving for D: - Solving the equation will give us the total distance D between the two cities.

Let's proceed with solving the equation to find the total distance D.