Question

Теплоход по течению реки за 4 часа проплыл 124км пути.сколько км пути за 7 часов против течения реки проалывает теплоход если скорость течения реки 3км/час?

Answer 1

1) 124:4=31 км\ч - скорость теплохода по течению реки
2) 31-3=28 км\ч - собственная скорость теплохода
3) 28-3=25 кмч - скорость теплохода против течения реки
4) 25*7=175 км - проплывает теплоход против течения реки за 7 часов
ответ: 175 км

Answer 2

Х-скорость теплохода
(х+3)*4=124
х+3=31
х=28км в ч-скорость теплохода
s=(28-3)*7=175 км

Answer 3

Calculation of Distance Traveled Against the Current

To calculate the distance the boat will travel against the current in 7 hours, we need to consider the speed of the boat and the speed of the current.

Given: - Time taken to travel 124 km downstream (with the current): 4 hours - Speed of the current: 3 km/h

Let's denote the speed of the boat as 'B' km/h.

When the boat is traveling downstream (with the current), its effective speed is the sum of its own speed and the speed of the current. Therefore, the effective speed of the boat downstream is 'B + 3' km/h.

Using the formula: Distance = Speed × Time, we can calculate the speed of the boat downstream:

124 km = (B + 3) km/h × 4 hours

Simplifying the equation:

124 km = 4B + 12 km

4B = 124 km - 12 km

4B = 112 km

B = 112 km / 4

B = 28 km/h

Therefore, the speed of the boat is 28 km/h.

Calculation of Distance Traveled Against the Current

Now that we know the speed of the boat, we can calculate the distance it will travel against the current in 7 hours.

When the boat is traveling upstream (against the current), its effective speed is the difference between its own speed and the speed of the current. Therefore, the effective speed of the boat upstream is 'B - 3' km/h.

Using the formula: Distance = Speed × Time, we can calculate the distance the boat will travel upstream:

Distance = (B - 3) km/h × 7 hours

Substituting the value of B:

Distance = (28 - 3) km/h × 7 hours

Distance = 25 km/h × 7 hours

Distance = 175 km

Therefore, the boat will travel a distance of 175 km against the current in 7 hours.