Danielle has been visiting friends in Ridgewood for the past two weeks. She is…
2025
Danielle has been visiting friends in Ridgewood for the past two weeks. She is leaving tomorrow
morning and her flight is very early. Most of her friends live fairly close to the airport. Madison lives
ten miles away. Frances lives five miles away, Samantha, seven miles. Alexis is farther away than
Frances, but closer than Samantha. Approximately how far away from the airport is Alexis?
- A.
nine miles
- B.
seven miles
- C.
eight miles
- D.
six miles
Show answer & explanation
Correct answer: D
Concept: When a quantity is described as "farther than A but closer than B", it must lie strictly between the values of A and B — this defines a range, not a single point.
Frances lives five miles from the airport, and Samantha lives seven miles from the airport.
Alexis is farther away than Frances, so Alexis's distance is greater than five miles.
Alexis is closer than Samantha, so Alexis's distance is less than seven miles.
Combining both conditions, Alexis's distance lies strictly between five and seven miles.
Checking each distance against this range:
Nine miles and eight miles both exceed seven miles, so neither is closer than Samantha.
Seven miles equals Samantha's own distance, so it is not strictly closer than her.
Six miles is greater than five and less than seven, so it alone satisfies both conditions.
So Alexis lives approximately six miles from the airport.