Question

За 3 минуты моторная лодка преодолела расстояние 750 м. За первые две минуты она прошла 450 м. Определите скорость лодки в каждую из трех минут, если за вторую минуту было пройдено на 100 м. меньше, чем за третью?

Answer 1

750-450=300 (3мин)
300-100=200 (2мин)
450-200=250 (1мин)

Answer 2

Calculation of the Boat's Speed

To determine the speed of the boat during each of the three minutes, we can use the given information.

According to the problem, the boat covered a distance of 750 meters in 3 minutes. In the first two minutes, it traveled 450 meters. Let's denote the speed of the boat during the first minute as v1, the speed during the second minute as v2, and the speed during the third minute as v3.

We can set up the following equations based on the given information:

1. The boat traveled 450 meters in the first two minutes: - v1 + v2 = 450 meters.

2. The boat covered a total distance of 750 meters in three minutes: - v1 + v2 + v3 = 750 meters.

3. The distance covered in the second minute was 100 meters less than the distance covered in the third minute: - v2 = v3 - 100 meters.

To solve these equations, we can use substitution or elimination methods. Let's use the substitution method:

From equation 3, we can express v2 in terms of v3: - v2 = v3 - 100.

Substituting this value of v2 into equation 1, we get: - v1 + (v3 - 100) = 450.

Simplifying the equation, we have: - v1 + v3 = 550.

Now, we can substitute the values of v1 + v3 and v2 into equation 2: - (v1 + v3) + v2 = 750.

Substituting the value of v1 + v3 from the previous equation, we get: - 550 + v2 = 750.

Simplifying the equation, we have: - v2 = 200.

Now, we can substitute the value of v2 into equation 3 to find v3: - 200 = v3 - 100.

Simplifying the equation, we have: - v3 = 300.

Finally, we can substitute the values of v2 and v3 into equation 1 to find v1: - v1 + 200 = 450.

Simplifying the equation, we have: - v1 = 250.

Therefore, the speed of the boat during the first minute (v1) is 250 meters, during the second minute (v2) is 200 meters, and during the third minute (v3) is 300 meters.

Please let me know if I can help you with anything else.