The Problem:
How long will it take for a cruise liner to sail a distance of 530 nautical miles at a speed of 25 knots? (A knot is a speed of 1 nautical mile per hour.)

Step 1: Use the formula for time
We are given:
- Distance = 530 nautical miles,
- Speed = 25 knots (1 knot = 1 nautical mile per hour).
The formula to calculate time is:
Time = Distance / Speed
Step 2: Calculate the time
Substitute the values:
Time = 530 / 25 = 21.2 hours
Step 3: Convert hours to hours and minutes (optional)
0.2 hours = 0.2 × 60 = 12 minutes.
So, the time is 21 hours and 12 minutes.
Final Answer:
The cruise liner will take 21.2 hours (or 21 hours and 12 minutes) to sail 530 nautical miles at a speed of 25 knots.