Question

Растояние между двумя пунктами катер прошел по течению реки за 5 часов а против течения за 6 часов найдите расстояние между этими пунктами если скорость течения реки 3км/ч​

Answer 1

Ответ:180км

пусть х собств скор, тогда х+3--скор по теч реки,   х-3---скор против теч реки, так как путь одинаков то приравниваем и решаем   5(х+3)=6(х-3)     5х+15=6х-18   6х-5х=18+15       х= 33км/ч собс скор кат   5*(33+3)=180км расст между пунктами

Пошаговое объяснение:

Answer 2

Calculation of Distance

To find the distance between two points, we need to consider the speed of the boat and the speed of the river current. Let's assume that the speed of the boat in still water is x km/h and the speed of the river current is 3 km/h.

When the boat is moving with the current, its effective speed is increased by the speed of the current. So, the boat's speed is (x + 3) km/h.

When the boat is moving against the current, its effective speed is decreased by the speed of the current. So, the boat's speed is (x - 3) km/h.

We are given that the boat took 5 hours to travel between the two points with the current and 6 hours to travel between the two points against the current.

Let's use the formula distance = speed × time to calculate the distance between the two points.

1. Distance traveled with the current: - Speed of the boat with the current: (x + 3) km/h - Time taken: 5 hours - Distance = (Speed with current) × (Time) = (x + 3) × 5 km

2. Distance traveled against the current: - Speed of the boat against the current: (x - 3) km/h - Time taken: 6 hours - Distance = (Speed against current) × (Time) = (x - 3) × 6 km

To find the total distance between the two points, we can add the distances traveled with and against the current:

Total distance = Distance with current + Distance against current

Let's solve the equations to find the value of x and then calculate the total distance.

Solution

Using the given information, we can set up the following equations:

1. Distance with current: (x + 3) × 5 2. Distance against current: (x - 3) × 6

To find the value of x, we can set the two distances equal to each other and solve for x:

(x + 3) × 5 = (x - 3) × 6

Simplifying the equation:

5x + 15 = 6x - 18

Rearranging the equation:

6x - 5x = 15 + 18

x = 33

Now that we have the value of x, we can calculate the total distance:

Total distance = Distance with current + Distance against current

Total distance = (33 + 3) × 5 + (33 - 3) × 6 km

Total distance = 36 × 5 + 30 × 6 km

Total distance = 180 + 180 km

Total distance = 360 km

Therefore, the distance between the two points is 360 km.

Please note that the sources provided did not contain any relevant information for this specific calculation.