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# 5. A car travels d miles...

# Description

- Type: Quantitative Comparison
- Topic: Algebra
- Rate
- Supplying Numbers

- Answer:
**B, Quantity B is Greater**

# Explanation

Consider scratch work above.

- Start by Recording What You Know™, possibly drawing a picture, and getting your Possibility Matrix™ and answer choices set up.
- We're dealing with variables d, r, and s.
- Get rid of the variables by supplying numbers that will make the problem easier to work through.
- Let's keep it simple. Imagine that the highway is 100 miles. d = 100
- r = 100 mph. This keeps the first calculation simple.
- s = 50 mph. This conforms to the r > s restriction and keeps Column B simple.
- Given these values, it would take 1 hour for the car to drive 100 miles at 100 mph. Column A is 1 hour.
- 100 ÷ 50 = 2. Therefore, Column B is 2 hours.
- Right now, Column B is bigger than column A. Eliminate answers A and C.
- Try out some different values to verify B is correct.
- Let's make the distance, d, equal to 12, r equal to 4, and s equal to 2.
- It would take 3 hours to drive 12 miles at 4 mph. Column A is 3 hours.
- 12 ÷ 2 = 6. Column B is 6 hours.
**Column B is greater.**

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