Question

С одной пристани одновременно в противоположные направления вышли катер и теплоход через 6 часов расстояние между ними стало 966 км. найдите скорости катера и теплохода, если известно, что за один час теплоход проплывает на 15 км больше, чем катер

Answer 1

15*6#90км теплоход за6 ч проплывает больше 966-90#876 876/2#438 438/6#73км/ч скорость катера 73+15#88км/ч скорость теплохода

Answer 2

Problem Analysis

We are given that a boat and a ship left a dock simultaneously in opposite directions. After 6 hours, the distance between them became 966 km. We also know that the ship travels 15 km more than the boat in one hour. We need to find the speeds of the boat and the ship.

Solution

Let's assume the speed of the boat is x km/h. Since the ship travels 15 km more than the boat in one hour, the speed of the ship is (x + 15) km/h.

After 6 hours, the boat has traveled a distance of 6x km and the ship has traveled a distance of 6(x + 15) km. The sum of these distances is equal to 966 km:

6x + 6(x + 15) = 966

Simplifying the equation:

6x + 6x + 90 = 966

12x + 90 = 966

12x = 876

x = 73

Therefore, the speed of the boat is 73 km/h and the speed of the ship is (73 + 15) = 88 km/h.

Answer

The speed of the boat is 73 km/h and the speed of the ship is 88 km/h.