Question

Пароход проходит расстояние между пунктами А и В и обратно без остановок за три целых, три восьмых ч. Скорость парохода в стоячей воде 18км/ч, а скорость реки 2км/ч. Найти расстояние от А до В. Помогите пожалуйста очень срочно!!!

Answer 1

((18+2)+(18-2))*3целых3/8

                   2

36*3целых 3/8

            2

 

ответ: 60,75 км

Answer 2

Calculation of Distance from A to B

To find the distance from point A to point B, we need to consider the speed of the steamship and the speed of the river. Let's break down the problem step by step.

Given information: - Speed of the steamship in still water: 18 km/h - Speed of the river: 2 km/h - Time taken to travel from A to B and back without any stops: 3 hours and 3/8 hours

Let's assume the distance from A to B is 'x' km.

When the steamship is traveling from A to B: - The speed of the steamship relative to the ground is the sum of its speed in still water and the speed of the river: 18 km/h + 2 km/h = 20 km/h. - The time taken to travel from A to B is 'x' km / 20 km/h = 'x/20' hours.

When the steamship is traveling from B to A: - The speed of the steamship relative to the ground is the difference between its speed in still water and the speed of the river: 18 km/h - 2 km/h = 16 km/h. - The time taken to travel from B to A is 'x' km / 16 km/h = 'x/16' hours.

The total time taken to travel from A to B and back is 3 hours and 3/8 hours, which can be expressed as 27/8 hours.

So, we can write the equation: 'x/20 + x/16 = 27/8'

To solve this equation, we can find a common denominator and simplify: '(8x + 10x) / (20 * 16) = 27/8' '(18x) / 320 = 27/8'

Cross-multiplying, we get: 8 * 18x = 27 * 320 144x = 8640 x = 60

Therefore, the distance from A to B is 60 km.