Question

Для прохождения расстояния между городами пароходу необходимо на 30 минут больше, чем катеру. Скорость парохода 40 км/ч, а катера – 50 км/ч. Найдите расстояние между городами. Дайте ответ в километрах.

Answer 1

Расстояние обозначим x
x\40  время парохода
x \ 50  - время катера    Составим уравнение
x\ 40 - x\50  = 1\2
5x- 4 x = 100
x = 100   расстояние между городами 100 км
 

Answer 2

Calculating the Distance Between Cities

To find the distance between the cities, we can use the formula: distance = speed × time

Given that the speed of the steamboat (parohod) is 40 km/h and the speed of the motorboat (kater) is 50 km/h, and the steamboat takes 30 minutes longer than the motorboat to cover the same distance, we can set up the following equation:

distance / 40 = (distance / 50) + 30/60

Let's solve this equation to find the distance between the cities.

Calculating the Distance

Using the equation mentioned above, we can solve for the distance between the cities:

distance / 40 = (distance / 50) + 30/60

Solving for the distance: ``` (distance / 40) - (distance / 50) = 30/60 (5 * distance - 4 * distance) / (40 * 50) = 1/2 (distance / 200) = 1/2 distance = 200 * 1/2 distance = 100 km ``` So, the distance between the cities is 100 kilometers.

Conclusion

The distance between the cities is 100 kilometers.