Question

Лодка проплыла 24 км по течению на 15 мин быстрее чем тоже расстояние против течения найдите скорость лодки если скорость течения реки равна 2км/ч

Answer 1

Х км/ч - собственная скорость лодки
15мин=0,25час
24/(х-2) - 24/(х+2)=0,25
0,25х²=97
х²=97:0,25
х²=388
х≈19,7(км/ч)

Answer 2

Calculating the Boat's Speed

To find the speed of the boat, we can use the formula: Speed = Distance/Time

Given: - Distance traveled with the current = 24 km - Time taken with the current = 15 minutes - Speed of the current = 2 km/h

First, let's convert the time taken with the current to hours: 15 minutes = 15/60 hours = 0.25 hours

Now, we can calculate the speed of the boat using the formula: Speed = Distance/Time

Speed with the current = 24 km / 0.25 hours = 96 km/h

Now, to find the speed of the boat in still water, we need to consider the speed of the current. The speed of the boat in still water can be calculated using the formula: Speed of boat in still water = (Speed with the current + Speed against the current) / 2

Given that the speed against the current is the speed with the current minus the speed of the current: Speed against the current = 96 km/h - 2 km/h = 94 km/h

Now, we can calculate the speed of the boat in still water: Speed of boat in still water = (96 km/h + 94 km/h) / 2 = 95 km/h

So, the speed of the boat in still water is 95 km/h.