My Aunt and I Were Approaching the Same Intersection, She $\frac { 1 } { 10 }$

Multiple Choice

My aunt and I were approaching the same intersection, she from the south and I from the west. She was travelling at a steady speed of 20 mph, while I was approaching the intersection at 80 mph. At a certain instant in time, I was $\frac { 1 } { 10 }$ of a mile from the intersection, while she was $\frac { 1 } { 20 }$ of a mile from it. How fast were we approaching each other at that instant Round your answer to the nearest whole number.

A) 88 miles per hour
B) 82 miles per hour
C) 80 miles per hour
D) 78 miles per hour
E) 85 miles per hour