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5. A car travels d miles...

Jonathan EvansJonathan Evans PowerScore StaffJoined: 10/31/2016
edited Thu Feb 1, 2018 in Q1

Description

  • Type: Quantitative Comparison
  • Topic: Algebra
    • Rate
    • Supplying Numbers
  • Answer: B, Quantity B is Greater

Explanation


Consider scratch work above.
  1. Start by Recording What You Know™, possibly drawing a picture, and getting your Possibility Matrix™ and answer choices set up.
  2. We're dealing with variables d, r, and s.
  3. Get rid of the variables by supplying numbers that will make the problem easier to work through.
  4. Let's keep it simple. Imagine that the highway is 100 miles. d = 100
  5. r = 100 mph. This keeps the first calculation simple.
  6. s = 50 mph. This conforms to the r > s restriction and keeps Column B simple.
  7. Given these values, it would take 1 hour for the car to drive 100 miles at 100 mph. Column A is 1 hour.
  8. 100 ÷ 50 = 2. Therefore, Column B is 2 hours.
  9. Right now, Column B is bigger than column A. Eliminate answers A and C.
  10. Try out some different values to verify B is correct.
  11. Let's make the distance, d, equal to 12, r equal to 4, and s equal to 2.
  12. It would take 3 hours to drive 12 miles at 4 mph. Column A is 3 hours.
  13. 12 ÷ 2 = 6. Column B is 6 hours.
  14. Column B is greater.
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