2020 AMC 8

Complete problem set with solutions and individual problem pages

Problem 11 Medium

After school, Maya and Naomi headed to the beach, 6 miles away. Maya decided to bike while Naomi took a bus. The graph below shows their journeys, indicating the time and distance traveled. What was the difference, in miles per hour, between Naomi's and Maya's average speeds?

  • A.

    6

  • B.

    12

  • C.

    18

  • D.

    20

  • E.

    24

Answer:E

Naomi travels 6 miles in a time of 10 minutes, which is equivalent to \dfrac{1}{6} of an hour. Since \text{speed} = \frac{\text{distance}}{\text{time}}, her speed is \frac{6}{\left(\frac{1}{6}\right)} = 36 mph. By a similar calculation, Maya's speed is 12 mph, so the answer is 36-12 = \boxed{\textbf{(E) }24}.

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