SAT Math Multiple Choice Question 33: Answer and Explanation

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Question: 33

3. Steve ran a 12-mile race at an average speed of 8 miles per hour. If Adam ran the same race at an average speed of 6 miles per hour, how many minutes longer did Adam take to complete the race than did Steve?

  • A. 12
  • B. 16
  • C. 24
  • D. 30

Correct Answer: D

Explanation:

D Use the rate pie to calculate the time for each runner. Steve runs 12 miles at 8 miles per hour, so his pie looks like this:

To find his time, divide his distance by his rate, which means that he runs for 1 hours (or 1.5 if you're using your calculator). Adam runs the same 12 miles at 6 miles per hour, so this is his rate pie:

This means that Adam runs for 2 hours. Adam takes half an hour longer to complete the race, and half an hour is 30 minutes: (D).

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