# Lesson 5

Comparing Speeds and Prices

Let’s compare some speeds and some prices.

### 5.1: Closest Quotient

Is the value of each expression closer to $$\frac12$$, 1, or $$1\frac12$$?

1. $$20\div 18$$
2. $$9\div 20$$
3. $$7\div 5$$

Some students did treadmill workouts, each one running at a constant speed. Answer the questions about their workouts. Explain or show your reasoning.

• Tyler ran 4,200 meters in 30 minutes.
• Kiran ran 6,300 meters in $$\frac12$$ hour.
• Mai ran 6.3 kilometers in 45 minutes.
1. What is the same about the workouts done by:

1. Tyler and Kiran?
2. Kiran and Mai?
3. Mai and Tyler?
2. At what rate did each of them run?
3. How far did Mai run in her first 30 minutes on the treadmill?

Tyler and Kiran each started running at a constant speed at the same time. Tyler ran 4,200 meters in 30 minutes and Kiran ran 6,300 meters in $$\frac12$$ hour. Eventually, Kiran ran 1 kilometer more than Tyler. How much time did it take for this to happen?

### 5.3: The Best Deal on Beans

Four different stores posted ads about special sales on 15-oz cans of baked beans.

1. Which store is offering the best deal? Explain your reasoning.