Question

Расстояние между двумя городами по реке 384 км. Из этих городов одновременно навстречу друг другу вышли теплоход и пароход. Теплоход шёл со скоростью 38 км/ч. Найти скорость парохода, если его встреча с теплоходом произошла через 6 часов после выхода. На сколько км/ч скорость теплохода больше скорости парохода?

Answer 1

1) 384:6=64 км/ч общая скорость
2) 64-38=26 км/ч скорость парохода
3) 38-26=на 12 км/ч скорость теплохода больше

Answer 2

Problem Analysis

We are given that the distance between two cities along a river is 384 km. A steamboat and a motorboat set off simultaneously from these cities towards each other. The motorboat travels at a speed of 38 km/h. We need to find the speed of the steamboat if they meet 6 hours after setting off. We also need to determine how much faster the motorboat is compared to the steamboat.

Solution

Let's assume the speed of the steamboat is x km/h.

We know that the time taken by both boats to meet is 6 hours. During this time, the motorboat travels a distance of 38 km/h * 6 h = 228 km.

Since the total distance between the two cities is 384 km, the steamboat must have traveled the remaining distance of 384 km - 228 km = 156 km.

Using the formula distance = speed * time, we can write the equation for the steamboat as:

156 km = x km/h * 6 h

Simplifying the equation, we have:

156 km = 6x km/h

To find the speed of the steamboat, we can divide both sides of the equation by 6:

26 km/h = x km/h

Therefore, the speed of the steamboat is 26 km/h.

To determine how much faster the motorboat is compared to the steamboat, we can subtract the speed of the steamboat from the speed of the motorboat:

38 km/h - 26 km/h = 12 km/h

Therefore, the motorboat is 12 km/h faster than the steamboat.

Answer

The speed of the steamboat is 26 km/h. The motorboat is 12 km/h faster than the steamboat.