Question

помогите решить Два теплохода отправились одновременно по течению реки из города А и В первый проходил за 25км в час второй по 20 км в час определите расстояние между городами А и В зная то что второй теплоход прибыл часами позже первого

Answer 1

Для решения найдем, на сколько километров отставал второй корабль, когда первый уже пришел к конечной остановке:

20 * 4 = 80 (км).

Теперь найдем разницу в скорости двух теплоходов:

25 - 20 = 5 (км/час).

Поделим километраж отставания на разницу в скорости и получим, сколько часов потратил на всю дорогу первый теплоход:

80 : 5 = 16 (часов.)

Найдем расстояние:

16 * 25 = 2 * (8 * 25) = 2 * 200 = 400 (км.)

Ответ: весь путь - 400 км.

Answer 2

Problem Analysis

We are given that two boats started simultaneously from cities A and B, respectively, and traveled downstream along a river. The first boat traveled at a speed of 25 km/h, while the second boat traveled at a speed of 20 km/h. We need to determine the distance between cities A and B, knowing that the second boat arrived one hour later than the first boat.

Solution

Let's assume that the distance between cities A and B is D km.

The first boat traveled at a speed of 25 km/h, so it took D/25 hours to reach city B.

The second boat traveled at a speed of 20 km/h and arrived one hour later than the first boat. Therefore, it took D/20 + 1 hours for the second boat to reach city B.

Since both boats arrived at the same destination, we can set up the equation:

D/25 = D/20 + 1

To solve this equation, we can multiply both sides by the least common multiple (LCM) of 25 and 20, which is 100:

4D = 5D + 100

Simplifying the equation, we get:

D = 100

Therefore, the distance between cities A and B is 100 km.

Answer

The distance between cities A and B is 100 km.