Question

Теплоход прошёл по течению реки 48 км и столько же против течения, затратив на весь путь 5 ч. Найдите скорость течения реки, если скорость теплохода по течению 24 км/ч

Answer 1

Х км/ч - скорость течения
24-х  км/ч - скорость теплохода
24-х-х=24-2х  км/ч - скорость против течения

48/24+48/(24-2х)=5*24(24-2х)
48(24-2х+24)=2880-240х
2304 - 96х=2880-240х
240х-96х=2880-2304
144х=576
х=576:144
х=4(км/ч) - скорость течения

Answer 2

Calculating River Current Speed

To find the speed of the river's current, we can use the formula: Speed of the boat in still water = (Speed downstream + Speed upstream) / 2 Speed of the current = (Speed downstream - Speed upstream) / 2

Given: - Speed downstream = 24 km/h - Distance downstream = 48 km - Time downstream = 5 hours - Distance upstream = 48 km - Time upstream = 5 hours

Using the formula, we can calculate the speed of the river's current.

Calculations

Speed downstream = Distance downstream / Time downstream Speed downstream = 48 km / 5 hours Speed downstream = 9.6 km/h

Speed upstream = Distance upstream / Time upstream Speed upstream = 48 km / 5 hours Speed upstream = 9.6 km/h

Now, we can find the speed of the river's current: Speed of the boat in still water = (9.6 km/h + 9.6 km/h) / 2 Speed of the boat in still water = 9.6 km/h

Speed of the current = (9.6 km/h - 9.6 km/h) / 2 Speed of the current = 0 km/h

Answer

The speed of the river's current is 0 km/h.