Question

Лодка плыла 2ч по течению реки а затем 1ч против течения . Найдите собственную скорость лодки если известно что скорость течения реки равна 3км ч а всего лодкой пройдено расстояние 30км

Answer 1

2*(х+3)+х-3=30
2х+6+х-3=30
3х=30+3-6
3х=27
х=9км/ч

Answer 2

Calculation of Boat's Speed

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

Boat's Speed = (Total Distance Traveled) / (Total Time Taken)

Given information: - The boat traveled for 2 hours with the current. - The boat traveled for 1 hour against the current. - The speed of the current is 3 km/h. - The total distance traveled by the boat is 30 km.

Let's calculate the boat's speed step by step:

1. Calculate the distance traveled with the current: - Speed of the boat with the current = Boat's speed + Speed of the current - Distance traveled with the current = Speed of the boat with the current * Time taken with the current

2. Calculate the distance traveled against the current: - Speed of the boat against the current = Boat's speed - Speed of the current - Distance traveled against the current = Speed of the boat against the current * Time taken against the current

3. Calculate the total distance traveled: - Total distance traveled = Distance traveled with the current + Distance traveled against the current

4. Calculate the total time taken: - Total time taken = Time taken with the current + Time taken against the current

5. Calculate the boat's speed: - Boat's speed = Total distance traveled / Total time taken

Let's plug in the given values and calculate the boat's speed.

Calculation Steps:

1. Calculate the distance traveled with the current: - Speed of the boat with the current = Boat's speed + Speed of the current - Distance traveled with the current = Speed of the boat with the current * Time taken with the current

Substituting the given values: - Speed of the boat with the current = Boat's speed + 3 km/h - Distance traveled with the current = (Boat's speed + 3 km/h) * 2 hours

2. Calculate the distance traveled against the current: - Speed of the boat against the current = Boat's speed - Speed of the current - Distance traveled against the current = Speed of the boat against the current * Time taken against the current

Substituting the given values: - Speed of the boat against the current = Boat's speed - 3 km/h - Distance traveled against the current = (Boat's speed - 3 km/h) * 1 hour

3. Calculate the total distance traveled: - Total distance traveled = Distance traveled with the current + Distance traveled against the current

Substituting the calculated values: - Total distance traveled = [(Boat's speed + 3 km/h) * 2 hours] + [(Boat's speed - 3 km/h) * 1 hour]

4. Calculate the total time taken: - Total time taken = Time taken with the current + Time taken against the current

Substituting the given values: - Total time taken = 2 hours + 1 hour

5. Calculate the boat's speed: - Boat's speed = Total distance traveled / Total time taken

Substituting the calculated values: - Boat's speed = [(Boat's speed + 3 km/h) * 2 hours + (Boat's speed - 3 km/h) * 1 hour] / 3 hours

Now, let's solve the equation to find the boat's speed.