Question

путь в 195 км путешественники проплыли , двигаясь 3 часа на моторной лодке и 5 часов на пароходе . Какова была скорость моторной лодки , если она вдвое меньше скорости парохода .

Answer 1

3x+5*2x=195
3x+10x=195
13x=195
x=195:13
x=15км/ч скорость моторной лодки

Answer 2

Calculation of Speed

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

Given: - Distance traveled = 195 km - Time spent on the motorboat = 3 hours - Time spent on the steamboat = 5 hours

Let's calculate the speed of the motorboat.

Step 1: Calculate the distance traveled on the motorboat. The distance traveled on the motorboat can be calculated using the formula: Distance = Speed × Time.

Let's assume the speed of the motorboat as x km/h.

Distance traveled on the motorboat = Speed of the motorboat × Time spent on the motorboat

Distance traveled on the motorboat = x km/h × 3 hours

Step 2: Calculate the distance traveled on the steamboat. The distance traveled on the steamboat can also be calculated using the formula: Distance = Speed × Time.

Given that the time spent on the steamboat is 5 hours, and the speed of the motorboat is half the speed of the steamboat, we can write the equation:

Distance traveled on the steamboat = (2x) km/h × 5 hours

Step 3: Calculate the total distance traveled. The total distance traveled is the sum of the distances traveled on the motorboat and the steamboat.

Total distance traveled = Distance traveled on the motorboat + Distance traveled on the steamboat

Total distance traveled = (x km/h × 3 hours) + ((2x) km/h × 5 hours)

Since the total distance traveled is given as 195 km, we can write the equation:

195 km = (x km/h × 3 hours) + ((2x) km/h × 5 hours)

Now, let's solve this equation to find the value of x, which represents the speed of the motorboat.

Solving the Equation

To solve the equation, we can follow these steps:

1. Distribute the terms inside the parentheses: 195 km = 3x km/h × 3 hours + 10x km/h × 5 hours

2. Simplify the equation: 195 km = 9x km/h + 50x km/h

3. Combine like terms: 195 km = 59x km/h

4. Solve for x: x = 195 km / 59 hours

Using a calculator, we find that x is approximately 3.305 km/h.

Answer

Therefore, the speed of the motorboat is approximately 3.305 km/h.