Question

Две моторные лодки вышли одновременно от двух причалов и пошли в одном направлении.через 20 мин одна лодка догнала другую. какое расстояние между причалами,если одна шла со скоростью 300 м/МИН ,а другая со скоростью 250м/мин?

Answer 1

1) 300-250=50(м/мин)-v сближение 2) 20*50=1000(м)-между ними Ответ: между ними было 1000м.

Answer 2

Problem Analysis

We have two motorboats that start at the same time from two different docks and travel in the same direction. After 20 minutes, one boat catches up to the other. We need to find the distance between the docks given that one boat travels at a speed of 300 m/min and the other at a speed of 250 m/min.

Solution

Let's assume that the distance between the docks is D.

The boat that catches up to the other boat travels at a faster speed, so it covers a greater distance in the same amount of time. In this case, after 20 minutes, the faster boat catches up to the slower boat.

To find the distance between the docks, we can set up an equation based on the relative speeds of the two boats.

Let's say the slower boat travels a distance of x in 20 minutes. Therefore, the faster boat travels a distance of x + D in the same time.

Using the formula distance = speed × time, we can set up the following equation:

x + D = 300 × (20/60) (since the speed is given in meters per minute and the time is given in minutes)

Similarly, the slower boat travels a distance of x in 20 minutes, so we can set up the following equation:

x = 250 × (20/60)

Now we can solve these two equations to find the value of D, which represents the distance between the docks.

Calculation

Let's calculate the value of D using the equations mentioned above.

From the equation x = 250 × (20/60), we can simplify it to x = 250 × (1/3), which gives us x = 83.33 meters.

Substituting the value of x into the equation x + D = 300 × (20/60), we get 83.33 + D = 300 × (1/3).

Simplifying further, we have 83.33 + D = 100.

Subtracting 83.33 from both sides, we get D = 100 - 83.33.

Therefore, the distance between the docks is approximately 16.67 meters.

Answer

The distance between the two docks is approximately 16.67 meters.

Please note that the above calculations are based on the given information and assumptions.