SSAT Math Question 340: Answer and Explanation

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Question: 340

9. Three friends took between 3 and 4 hours to make a 156-mile roadtrip. The average speed, in miles per hour, must have been between

  • A. 39 and 45
  • B. 45 and 51
  • C. 51 and 57
  • D. 57 and 64

Correct Answer: A

Explanation:

The answer is A

First start with the lower range of the time and use the formula Rate × Time = Distance: r × 3 = 156. Divide both sides by 3 = (multiply by the reciprocal): r = = 44 . Now, repeat the process for the upper range of the time: r × 4 = 156, so r = 39. Thus, the range of rates is between 39 and 44

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