Question

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?

$6$

$12$

$18$

$20$

$24$

Answer: E

Concepts:distance rate and time data and graph interpretation

Difficulty rating: 960

Video solution:

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Written solution:

Naomi traveled $6$ miles in $10$ minutes, so her average speed was $\dfrac{6}{10/60}=36$ miles per hour.

Maya traveled $6$ miles in $30$ minutes, so her average speed was $\dfrac{6}{30/60}=12$ miles per hour.

This difference is $36-12=24.$

Thus, the correct answer is E.

2020 AMC 8 Problem 11

Answer: E

Difficulty rating: 960

Video solution:

Written solution:

Problem 11 in Other Years