We need to have two numbers between 116 and 124. If we have these two numbers and average them, we can have:
[tex]\frac{116+124}{2}=120[/tex]If we rounded 116 to the nearest ten, it will be 120.
If we rounded 124 to the nearest ten, it will be also 120.
Then if we have these two numbers and average them, we finally have 120 miles.
The actual distance must be between 116 and 124.