One knot is one nautical mile per hour, and one nautical mil is 6,080 feet. If a cruiser ship has an average speed of 3.5 knots, how many feet does the ship travel in 24 minutes?

Answer

To solve the problem step by step, we will follow the reasoning provided in the video transcript.

### Step 1: Understand the relationship between knots and nautical miles.
1 knot = 1 nautical mile per hour.

### Step 2: Convert nautical miles to feet.
1 nautical mile = 6,080 feet.

Thus, 1 knot = 6,080 feet per hour.

### Step 3: Convert feet per hour to feet per minute.
Since there are 60 minutes in an hour:
\[ \text{Feet per minute} = \frac{6080 \text{ feet}}{60 \text{ minutes}} = 101.33 \text{ feet per minute}. \]

### Step 4: Calculate the average speed of the ship in feet per minute.
The average speed of the ship is given as 3.5 knots. Using the conversion from Step 3:
\[ \text{Average speed in feet per minute} = 3.5 \times 101.33 = 354.66 \text{ feet per minute}. \]

### Step 5: Calculate the distance traveled in 24 minutes.
Using the formula for distance:
\[ \text{Distance} = \text{Speed} \times \text{Time}. \]
Substituting the values we have:
\[ \text{Distance} = 354.66 \text{ feet per minute} \times 24 \text{ minutes} = 8512 \text{ feet}. \]

### Final Answer:
The ship travels **8512 feet** in 24 minutes.

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