Question

Моторний човен подолав відстань між двома пристанями за течією річки за 3 години а проти течії за 4 години Знайдіть відстань між цими пристанями якщо швидкість течії річки 2 кілометри за годину

Answer 1

Пусть х скорость катера, тогда по течению (х+2)*3 . А против течения (х-2)*4
Составим уравнение:
(х+2)*3=(х-2)*4
3х+6=4х-8
х=14 км/ч
14+2*3=48 км.
Ответ: 48 км.

Answer 2

Calculation of Distance

To find the distance between the two ports, we can use the formula:

Distance = Speed x Time

Let's calculate the distance traveled by the motorboat in each scenario.

1. Traveling with the current: - Time taken: 3 hours - Speed of the current: 2 kilometers per hour - Speed of the motorboat: Let's assume it as 'x' kilometers per hour - Distance traveled with the current: x + 2 kilometers per hour

2. Traveling against the current: - Time taken: 4 hours - Speed of the current: 2 kilometers per hour - Speed of the motorboat: Let's assume it as 'x' kilometers per hour - Distance traveled against the current: x - 2 kilometers per hour

To find the distance between the two ports, we need to equate the distances traveled in both scenarios:

(x + 2) x 3 = (x - 2) x 4

Now, let's solve this equation to find the value of 'x' and then calculate the distance.

Solving the Equation

Expanding the equation:

3x + 6 = 4x - 8

Rearranging the terms:

4x - 3x = 6 + 8

x = 14

Calculation of Distance

Now that we have the value of 'x' as 14 kilometers per hour, we can calculate the distance between the two ports.

1. Traveling with the current: - Speed of the motorboat: 14 kilometers per hour - Time taken: 3 hours - Distance traveled with the current: 14 km/h x 3 h = 42 kilometers

2. Traveling against the current: - Speed of the motorboat: 14 kilometers per hour - Time taken: 4 hours - Distance traveled against the current: 14 km/h x 4 h = 56 kilometers

Therefore, the distance between the two ports is 42 kilometers when traveling with the current and 56 kilometers when traveling against the current.

Please note that the above calculations are based on the given information and assumptions made.