Question

Помогите решить задачу со схемой: Патрульный катер заметил шхуну контрабандистов, когда она находилось на расстояние 1км 600м от него. Сколько времени потребуется катеру, чтобы догнать шхуну, если он движется со скоростью 500 м/мин, а скорость шхуны составляет 92% скорости катера. Успеет ли шхуна доплыть до нейтральных вод, если её отделяет от них 20 км 700 м

Answer 1

500 м/мин * 92%=500*92/100=460м/мин скорость шхуны

500-460=40м/мин разница в скорости

1600/40=40мин потребуется катеру, чтобы догнать шхуну

20700/460=45мин нужно шхуне, чтобы доплыть до нейтральных вод

45-40=5мин не хватит, чтобы удрать

Answer 2

Problem Analysis

To solve this problem, we need to calculate the time it will take for the patrol boat to catch up with the smuggler's schooner. We are given the initial distance between the two vessels, the speed of the patrol boat, and the speed of the schooner. We also need to determine if the schooner will reach neutral waters before being caught by the patrol boat.

Calculation of Time to Catch Up

To calculate the time it will take for the patrol boat to catch up with the schooner, we can use the formula:

Time = Distance / Speed

The distance between the two vessels is given as 1 km 600 m, which can be converted to meters as follows:

1 km = 1000 m 600 m = 600 m

So, the total distance between the patrol boat and the schooner is 1600 m.

The speed of the patrol boat is given as 500 m/min.

To find the speed of the schooner, we are told that it is 92% of the speed of the patrol boat. Therefore, the speed of the schooner can be calculated as:

Speed of Schooner = 92% of Speed of Patrol Boat = 0.92 * 500 m/min = 460 m/min

Now, we can calculate the time it will take for the patrol boat to catch up with the schooner:

Time = Distance / Speed = 1600 m / 460 m/min ≈ 3.48 min

Therefore, it will take approximately 3.48 minutes for the patrol boat to catch up with the schooner.

Calculation of Schooner's Distance to Neutral Waters

To determine if the schooner will reach neutral waters before being caught by the patrol boat, we need to calculate the distance between the schooner and neutral waters.

We are given that the distance between the schooner and neutral waters is 20 km 700 m, which can be converted to meters as follows:

20 km = 20,000 m 700 m = 700 m

So, the total distance between the schooner and neutral waters is 20,700 m.

Since we know the speed of the schooner is 460 m/min, we can calculate the time it will take for the schooner to reach neutral waters:

Time = Distance / Speed = 20,700 m / 460 m/min ≈ 45.00 min

Therefore, it will take approximately 45.00 minutes for the schooner to reach neutral waters.

Conclusion

In conclusion, the patrol boat will take approximately 3.48 minutes to catch up with the schooner. However, it will take approximately 45.00 minutes for the schooner to reach neutral waters. Therefore, the schooner will not be able to reach neutral waters before being caught by the patrol boat.

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