Here are three algebra-based motion problems for you:

### 1. **Two Cars on a Highway**
Car A leaves a city traveling north at 60 miles per hour. One hour later, Car B leaves the same city, also traveling north at 75 miles per hour. How long will it take for Car B to catch up with Car A?

### 2. **Boat in a River**
A boat travels 12 miles downstream in 2 hours and then travels back upstream in 3 hours. Assuming the current speed is constant, find the speed of the boat in still water and the speed of the current.

### 3. **Two Cyclists**
Cyclist A and Cyclist B start at the same point, but Cyclist A travels east at 12 miles per hour, and Cyclist B travels south at 16 miles per hour. After 2 hours, how far apart are they?

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Would you like detailed solutions for any of these problems, or do you have any questions?

### Related Problems
1. How far will a car traveling at 55 miles per hour go in 4 hours?
2. If a plane flies 600 miles at 300 miles per hour, how long does it take?
3. A cyclist covers 24 miles in 3 hours. What is their average speed?
4. Two trains leave the same station heading in opposite directions, one at 80 mph and the other at 90 mph. How far apart will they be after 3 hours?
5. A runner completes a 10-mile race in 1 hour and 15 minutes. What was their average speed?

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### Tip:
When solving motion problems, always remember the key relationship: **Distance = Speed × Time.**

Explore three motion-based algebra problems, including a car chase on the highway, a boat traveling upstream and downstream, and two cyclists moving in different directions. Learn to solve these using the distance = speed × time formula, with detailed explanations and examples. Ideal for students in Grades 7-10.

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