2 Two ships sall from one port to another, a distance of 825 nautical miles, on the same course, the speed of one ship being 4 knots faster than the other. The fast ship leaves port 2 hours after the slow ship and arrives at their destination 14 hour sooner Find the speeds of the two ships

Let's denote the speed of the slower ship as \( x \) knots. Then the speed of the faster ship is \( x + 4 \) knots.

### Step 1: Time taken by each ship to cover the distance
- **Time taken by the slower ship:**  
  The slower ship takes time \( t \) hours to cover the distance. Since distance = speed × time, we have:
  \[
  t = \frac{825}{x}
  \]
  
- **Time taken by the faster ship:**  
 

Learn how to solve a speed, distance, and time problem involving two ships traveling from one port to another. Understand the relationship between distance, speed, and time, and find the speeds of the ships given their departure times and arrival times. Suitable for high school students learning about linear equations and speed, distance, time problems.

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