Question

Теплоход и катер отошли одновременно навстечу друг другу от двух пристаней, расстояние между которыми 177 км., и встретились через 3 часа.Скорость теплохода 32км/ч . Найти скорость катера

Answer 1

Теплоход и катер отошли одновременно навстечу друг другу от двух пристаней, расстояние между которыми 177 км., и встретились через 3 часа.Скорость теплохода 32км/ч . Найти скорость катера

Решение

1) Найдем суммарную скорость теплохода и катера:

177/3=57 км/час

2) найдем скорость катера:

57-32=25 км/час

Answer 2

Problem Analysis

We are given that a steamboat and a motorboat depart simultaneously from two different piers and meet each other after 3 hours. The distance between the piers is 177 km, and the speed of the steamboat is 32 km/h. We need to find the speed of the motorboat.

Solution

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

To solve this problem, we can use the formula: Speed = Distance / Time.

The steamboat and the motorboat are moving towards each other, so their combined speed is the sum of their individual speeds.

The distance traveled by the steamboat in 3 hours is: 32 km/h * 3 hours = 96 km.

The distance traveled by the motorboat in 3 hours is: x km/h * 3 hours = 3x km.

Since they meet each other after 3 hours, the sum of the distances traveled by both boats should be equal to the total distance between the piers, which is 177 km.

Therefore, we can write the equation: 96 km + 3x km = 177 km.

To find the value of x, we can solve this equation:

96 km + 3x km = 177 km

Subtracting 96 km from both sides:

3x km = 177 km - 96 km

3x km = 81 km

Dividing both sides by 3:

x km = 81 km / 3

x km = 27 km/h

Answer

The speed of the motorboat is 27 km/h.