Question

9:00 утра два катера отошли от пристани на озере в противоположных направлениях в 9:30 расстояние между ними было 39 км 500 м с какой скоростью шел первый катер если скорость второго 45 км ч

Answer 1

Problem Analysis

We have two boats that departed from a dock on a lake in opposite directions at 9:00 am. At 9:30 am, the distance between them was 39 km 500 m. We need to find the speed of the first boat, given that the speed of the second boat is 45 km/h.

Solution

To find the speed of the first boat, we can use the formula:

Speed = Distance / Time

Let's calculate the time it took for the boats to be 39 km 500 m apart. The time can be calculated by subtracting the initial distance between the boats from the final distance between them and dividing it by the relative speed of the boats.

The relative speed of the boats can be calculated by adding their individual speeds since they are moving in opposite directions.

Let's calculate the time first:

Time = (Final Distance - Initial Distance) / Relative Speed

The initial distance between the boats is 0 km since they departed from the same dock. The final distance between them is 39 km 500 m.

Converting the final distance to kilometers: 39 km 500 m = 39.5 km

The relative speed of the boats is the sum of their individual speeds: Relative Speed = Speed of First Boat + Speed of Second Boat

Given that the speed of the second boat is 45 km/h, we can substitute the values into the equation:

Relative Speed = Speed of First Boat + 45 km/h

Now we can calculate the time:

Time = (39.5 km - 0 km) / (Speed of First Boat + 45 km/h)

Let's solve this equation to find the time.

Calculating the time: Time = 39.5 km / (Speed of First Boat + 45 km/h)

Now we can solve for the speed of the first boat by rearranging the equation:

Speed of First Boat = (39.5 km) / Time - 45 km/h

Let's calculate the speed of the first boat.

Calculating the speed of the first boat: Speed of First Boat = 39.5 km / Time - 45 km/h

Calculation

To calculate the speed of the first boat, we need to find the value of Time.

Using the formula: Time = 39.5 km / (Speed of First Boat + 45 km/h)

We can substitute the values into the equation and solve for Time.

Time = 39.5 km / (Speed of First Boat + 45 km/h)

Since we don't have the value of Time, we cannot calculate the speed of the first boat without additional information.

Please provide the value of Time or any other relevant information to proceed with the calculation.