Question

Расстояние от пункта а до пункта б моторная лодка плыла по течению реки 1.3 ч, а от пункта б до пункта а 1.9 ч. Скорость течения реки 2.4 км. Ч. Найдите собственную скорость моторной лодки

Answer 1

X----собственная скорость лодки
1,3(x+2,4)=1,9(x-2,4)
1,3x+3,12=1,9-4,56
1,9x-1,3x=3,12-4,56
0,6x=7,68
x=7,68:0,6
x=12,8км/ч собственная скорость лодки

Answer 2

Calculating the Speed of the Motorboat

To calculate the speed of the motorboat, we can use the formula: Speed = Distance / Time

Distance from Point A to Point B

The time it took for the motorboat to travel from point A to point B against the current is 1.3 hours, and the time it took for the motorboat to travel from point B to point A with the current is 1.9 hours.

Speed of the River Current

The speed of the river current is given as 2.4 km/h.

Calculating the Speed of the Motorboat

Using the given information, we can calculate the speed of the motorboat. Let's denote the speed of the motorboat as M.

When the motorboat travels from point A to point B against the current, the effective speed is (M - 2.4) km/h. When the motorboat travels from point B to point A with the current, the effective speed is (M + 2.4) km/h.

We can use the formula Speed = Distance / Time for both cases to set up the equations and solve for the speed of the motorboat.

Solution

1. When the motorboat travels from point A to point B: - Speed = Distance / Time - (M - 2.4) = Distance / 1.3 - Distance = (M - 2.4) * 1.3

2. When the motorboat travels from point B to point A: - Speed = Distance / Time - (M + 2.4) = Distance / 1.9 - Distance = (M + 2.4) * 1.9

Equating the distances from both cases: (M - 2.4) * 1.3 = (M + 2.4) * 1.9

Solving this equation will give us the speed of the motorboat.

Let's calculate the speed of the motorboat using the given information.