Question

Путь в 195 км путешественники проплыли, двигаясь 3 ч на моторной лодке и 5 ч - на параходе. Какова скорость лодки,если она вдвое меньше скорости парахода? (решить уравнением)

Answer 1

Пусть скорость лодки х, тогда скорость парохода 2х
3*х+5*2х=195
3х+10х=195
13х=195
х=195:13
х=15(км/ч) - скорость лодки
15*2=30(км/ч) - скорость парохода
Ответ: 15 км/ч скорость лодки

Answer 2

Пусть хкм/ч.- скорость лодки. Тогда скорость парохода- 2х км/ч.
Составим и решим уравнение.
3х+5*2х=195
3х+10х=195
13х=195
х=195:13
х=

Answer 3

Problem Analysis

We are given that a group of travelers traveled a distance of 195 km. They spent 3 hours on a motorboat and 5 hours on a steamboat. We need to find the speed of the motorboat, given that it is half the speed of the steamboat.

Solution

Let's assume the speed of the steamboat is x km/h. According to the problem, the speed of the motorboat is half of the speed of the steamboat, so the speed of the motorboat is x/2 km/h.

We can use the formula speed = distance / time to find the speed of each boat.

For the motorboat: - Distance = 195 km - Time = 3 hours

For the steamboat: - Distance = 195 km - Time = 5 hours

Using the formula, we can set up the following equations:

Motorboat: Speed = Distance / Time x/2 = 195 / 3

Steamboat: Speed = Distance / Time x = 195 / 5

Now we can solve these equations to find the value of x, which represents the speed of the steamboat.