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Let's solve the problem displayed in the image.

### Problem Breakdown:
- **Given:**
  - The ratio of the speed of the boat in still water to the speed of the stream is \(5:1\).
  - Distance upstream \(= 48\) km.
  - The boat takes 1 hour more to cover the same distance upstream than downstream.

### Let:
- Speed of the boat in still water = \(5x\) km/hr.
- Speed of the stream = \(x\) km/hr.

### Speed calculations:
- Speed upstream (against the current) \(= 5x - x = 4x\) km/hr.
- Speed downstream (with the current) \(= 5x + x = 6x\) km/hr.

### Time taken:
- Time taken to travel upstream \(= \frac{48}{4x}\) hours.
- Time taken to travel downstream \(= \frac{48}{6x}\) hours.

According to the problem:
\[
\text{Time upstream} - \text{Time downstream} = 1 \text{ hour}
\]
\[
\frac{48}{4x} - \frac{48}{6x} = 1
\]

### Solving the equation:
\[
\frac{48}{4x} - \frac{48}{6x} = 1
\]
\[
\frac{12}{x} - \frac{8}{x} = 1
\]
\[
\frac{4}{x} = 1
\]
\[
x = 4 \text{ km/hr}
\]

### Speed of the boat in still water:
\[
5x = 5 \times 4 = 20 \text{ km/hr}
\]

### Answer:
The speed of the boat in still water is \( \boxed{20 \text{ km/hr}} \).

Do you have any questions or need further details on this solution? 

Here are 5 related questions you might find interesting:
1. How does the speed of the stream affect the time difference between upstream and downstream travel?
2. What would happen to the time difference if the ratio of the boat's speed to the stream's speed were increased?
3. How would the equation change if the boat took 2 hours more instead of 1 hour?
4. What if the distances upstream and downstream were different? How would that affect the solution?
5. If the speed of the stream were doubled, what would be the new speed of the boat in still water?

**Tip:** In problems involving speed, distance, and time, it's essential to keep track of the direction of travel (upstream or downstream) as it affects the effective speed and thus the time taken.

The ratio of the speed of boat in still water to the speed of the stream is 5:1. A boat takes 1 hour more to cover a distance of 48 km upstream than to cover the same distance downstream. Find the speed of the boat in still water.

Learn how to calculate the speed of a boat in still water given the ratio of the boat's speed to the stream's speed and the time difference for upstream and downstream travel. The problem involves key concepts in algebra and speed, distance, and time. Suitable for students in Grades 9-10.

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