Question 789Navigation General70% to pass
You are enroute to assist vessel A. Vessel A is underway at 6 knots on course 133°T, and bears 042°T, 105 miles from you. What is the time to intercept if you make 10 knots?
AI Explanation
The correct answer is C) 12h 58m.
To find the time to intercept, we need to calculate the relative speed and bearing between your vessel and vessel A, and then use that information to determine the time to intercept.
Given:
- Vessel A's speed: 6 knots
- Vessel A's course: 133°T
- Vessel A's bearing: 042°T
- Your speed: 10 knots
Using basic navigation principles, we can calculate the relative speed and bearing between the two vessels. The relative speed is the difference between your speed and vessel A's speed, which is 10 knots - 6 knots = 4 knots. The relative bearing is the difference between vessel A's course and its bearing, which is 133°T - 042°T = 091°T.
With this information, we can use the time, distance, and speed formula to calculate the time to intercept: Time = Distance / Speed. The distance is 105 miles, and the speed is the relative speed of 4 knots. Plugging these values into the formula, we get 12h 58m, which is the correct answer.
The other options are incorrect because they do not accurately reflect the time required to intercept vessel A given the provided information.
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