The Berger family is traveling to a historic site. The family drives at a constant rate for the entire trip. After 1 hour, they have 80 miles left to travel. After 2 hours, they have 20 miles left to travel.
Question
Based on this information, which statement is true?
Answer options with 4 options
A.
The Bergers are traveling at 50 miles per hour, and they started 100 miles from the site.
B.
The Bergers are traveling at 50 miles per hour, and they started 150 miles from the site.
C.
The Bergers are traveling at 60 miles per hour, and they started 80 miles from the site.
D.
The Bergers are traveling at 60 miles per hour, and they started 140 miles from the site.
The correct answer is C.
After 1 hour, the Bergers have 80 miles left to travel. This means that they traveled 20 miles in 1 hour (100 miles - 80 miles).
After 2 hours, the Bergers have 20 miles left to travel. This means that they traveled 30 miles in 2 hours (80 miles - 20 miles).
Therefore, the Bergers are traveling at a constant rate of 30 miles per 2 hours, or 15 miles per hour.
Since they have 80 miles left after 1 hour, they must have started 80 miles from the site.
So the correct statement is: The Bergers are traveling at 60 miles per hour, and they started 80 miles from the site.