Help me solve this without giving me the answer. "Aliza needs to run at a rate faster than 8.2 feet per second in order to exceed her fastest time in a race. After running for 15 minutes, her coach determines that she is running at an average rate of 5.8 miles per hour."

Let's break down the problem systematically to help you solve it step by step without giving the final answer.

1. **Convert Aliza's average running speed from miles per hour (mph) to feet per second (ft/s).**
   - To do this, you can use the following conversion factors:
     - 1 mile = 5280 feet
     - 1 hour = 3600 seconds

   So, you'll multiply Aliza's speed in miles per hour by these conversion factors to get the speed in feet per second.

2. **Compare the converted speed to the required speed of 8.2 feet per second.**
   - Once you've converted her speed into feet per second, you'll compare it to 8.2 ft/s, which is the speed she needs to exceed.

3. **Determine if Aliza's speed is fast enough.**
   - After comparing the two speeds, figure out if Aliza's current running speed is faster or slower than 8.2 ft/s.

4. **Reflect on the time she ran (15 minutes).**
   - Notice that the 15 minutes may not directly affect the rate comparison but gives context to her average running speed being measured over a substantial period.

You can now proceed with the steps to convert, compare, and evaluate the situation!

Do you want to go over the conversions in more detail, or do you have any other questions?

### Here are five related questions to think about:
1. How do you convert speeds between different units (like mph to ft/s)?
2. Why is unit conversion important in problems involving rates?
3. How can average speed be calculated over a different time interval (e.g., per minute)?
4. What might have affected Aliza’s running speed during the 15 minutes?
5. How does running time impact overall performance in a race?

**Tip**: Always double-check unit consistency when working with rates!

Learn how to solve a speed comparison problem by converting miles per hour to feet per second. This problem explores the concept of unit conversion and determining race performance by comparing Aliza's speed of 5.8 mph with the required 8.2 ft/s. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation