Question

МОТОРНАЯ ЛОДКА В ПЕРВЫЙ ДЕНЬ ПРОШЛА 120 КМ ПОТЕЧЕНИЮ РЕКИ ЗА 5 Ч, А ВО ВТОРОЙ ДЕНЬ ОНА ПРОШЛА 72 КМ ПРОТИВ ТЕЧЕНИЯ ЗА 6 Ч. НАЙТИ СОБСТВЕННУЮ СКОРОСТЬ ЛОДКИ И СКОРОСТЬ ТЕЧЕНИЯ РЕКИ.

Answer 1

Пусть х - собственная скорость моторной лодки, у - скорость течения реки. Тогда (х+у) - скорость лодки по течению реки, (х–у) скорость против него. Составим систему уравнений:
{5(х+у)=120 |:5
{6(х–у)=72 |:6
{х+у=24
{х–у=12
2х=36
х=18
у=18–12=6
Ответ: собственная скорость лодки 18км/ч, скорость течения реки 6 км/ч

Answer 2

Calculation of Boat's Speed and River's Current Speed

To find the boat's speed and the river's current speed, we can use the formula:

Boat's Speed = (Distance traveled downstream) / (Time taken downstream)

River's Current Speed = (Distance traveled upstream) / (Time taken upstream)

Let's calculate the boat's speed and the river's current speed based on the given information.

Given: - On the first day, the boat traveled 120 km downstream in 5 hours. - On the second day, the boat traveled 72 km upstream in 6 hours.

Using the formula mentioned above, we can calculate the boat's speed and the river's current speed.

Boat's Speed: Distance traveled downstream = 120 km Time taken downstream = 5 hours

River's Current Speed: Distance traveled upstream = 72 km Time taken upstream = 6 hours

Now, let's calculate the boat's speed and the river's current speed.

Boat's Speed Calculation:

Boat's Speed = (Distance traveled downstream) / (Time taken downstream)

Boat's Speed = 120 km / 5 hours

Boat's Speed = 24 km/h.

River's Current Speed Calculation:

River's Current Speed = (Distance traveled upstream) / (Time taken upstream)

River's Current Speed = 72 km / 6 hours

River's Current Speed = 12 km/h.

Therefore, the boat's speed is 24 km/h, and the river's current speed is 12 km/h.

Please let me know if there is anything else I can help you with!