SSAT Math Question 331: Answer and Explanation

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Question: 331

10. A runner took between 45 minutes and 1 hour to run a 10-mile loop around the lake. The average speed, in miles per hour, must have been between

  • A. 10 and 13
  • B. 13 and 17
  • C. 17 and 20
  • D. 20 and 45

Correct Answer: A

Explanation:

The answer is A

First convert 45 minutes to hour, as the question asks for rate in miles per hour. Next, start with the lower range of the time and use the formula Rate × Time = Distance: r × = 10. Divide both sides by (multiply by the reciprocal): r = = 13 . Now, repeat the process for the upper range of the time: r × 1 = 10, so r = 10. Thus, the range of rates is between 10 and 13 Previous       Next