Question

От двух пристаней на озере одновременно по одному маршруту навстречу друг другу вышли катер и теплоход.Найдите их скорости,если расстояние между пристанями 58 км,скорость теплохода на 2 км в час больше чем катера и встретелись они через 2 часа.Срочно.

Answer 1

Ответ:

Пошаговое объяснение:

Скорость катера х км/час.

Тогда скорость теплохода  х+2 км/час.

Встречная скорость равна сумме скоростей

V встречная = V катера + V теплохода= x+x+2=2x+2 км/час

По формуле пути S=vt

58=(2x+2)2;

2x+2=29;

2x=27.

x=13,5 км/час - скорость катера.

x+2=13,5+2=15,5 км/час - скорость  теплохода.

Answer 2

Problem Analysis

We are given the following information: - The distance between the two piers is 58 km. - The speed of the steamboat is 2 km/h faster than the speed of the motorboat. - The steamboat and the motorboat meet each other after 2 hours.

We need to find the speeds of the steamboat and the motorboat.

Solution

Let's assume the speed of the motorboat is x km/h. Since the speed of the steamboat is 2 km/h faster, the speed of the steamboat is x + 2 km/h.

We can use the formula distance = speed × time to calculate the distances covered by the motorboat and the steamboat.

The motorboat covers a distance of x × 2 km in 2 hours, and the steamboat covers a distance of (x + 2) × 2 km in 2 hours.

According to the problem, the sum of the distances covered by the motorboat and the steamboat is equal to the distance between the piers, which is 58 km.

So, we can write the equation:

x × 2 + (x + 2) × 2 = 58

Simplifying the equation:

2x + 4 + 2x = 58

4x + 4 = 58

4x = 54

x = 13.5

Therefore, the speed of the motorboat is 13.5 km/h and the speed of the steamboat is 15.5 km/h.

Answer

The speed of the motorboat is 13.5 km/h and the speed of the steamboat is 15.5 km/h.