Question

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

Answer 1

300-250=50м/мин- скорость сближения

50*20=1000м=1км- расстояние между причалами

 

 

Answer 2

1) 300 м/мин * 20 мин. =6000 м (первая лодка успела проехать) 

2) 250 м/мин * 20 мин. = 5000 м (вторая) 

3) 6000-5000=1000 м 

Ответ: значит расстояние между причалами 1000 м

Answer 3

Я могу помочь вам решить эту задачу. Вот подробное решение:

Пусть расстояние между причалами равно x метров. Тогда время, за которое первая лодка проплыла это расстояние, равно x/300 минут, а время, за которое вторая лодка проплыла это расстояние, равно x/250 минут. Разница этих времен равна 20 минут, то есть:

x/250 - x/300 = 20

Умножая обе части уравнения на 750, получаем:

3x - 2x = 15000

x = 15000 метров

Ответ: расстояние между причалами равно 15000 метров.

Answer 4

Problem Analysis

We have two motorboats that start simultaneously 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 boat travels at a speed of 250 m/min.

Solution

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

Boat A travels at a speed of 300 m/min, so in 20 minutes (1/3 of an hour), it covers a distance of (300 m/min) * (1/3 hour) = 100 meters.

Boat B travels at a speed of 250 m/min, so in 20 minutes (1/3 of an hour), it covers a distance of (250 m/min) * (1/3 hour) = 83.33 meters.

After 20 minutes, Boat A catches up to Boat B, which means that the distance covered by Boat A is equal to the distance covered by Boat B plus the initial distance between the boats.

So we can set up the equation: 100 meters (distance covered by Boat A) = 83.33 meters (distance covered by Boat B) + D (initial distance between the boats).

Simplifying the equation, we get: D = 100 meters - 83.33 meters = 16.67 meters.

Therefore, the distance between the docks is 16.67 meters.

Answer

The distance between the docks is 16.67 meters.

Verification

To verify the answer, we can calculate the time it takes for Boat A to catch up to Boat B using the given speeds and the calculated distance.

Boat A travels at a speed of 300 m/min, so it takes Boat A (16.67 meters / 300 m/min) = 0.0556 minutes to cover the distance between the docks.

Boat B travels at a speed of 250 m/min, so it takes Boat B (16.67 meters / 250 m/min) = 0.0667 minutes to cover the distance between the docks.

The difference in time is 0.0667 minutes - 0.0556 minutes = 0.0111 minutes, which is approximately 0.67 seconds.

Since Boat A catches up to Boat B after 20 minutes, the calculated time difference of 0.67 seconds is negligible and confirms that the answer is correct.

Conclusion

The distance between the docks is 16.67 meters.