Question

Rich is driving from Philadelphia to Pittsburgh at 70 mph and Michelle is driving from Pittsburgh to Philadelphia at 65 mph. If Philadelphia and Pittsburgh are 305 miles apart how long will it take Rich and Michelle to meet?

Answer 1

Let:
Philadelphia be point a
Pittsburgh be point b
Distance traveled by Michelle be x
Distance traveled by Rich be 305 x

The general formula is:
distance = velocity (time)

substituting the values:
michelle: X = 65(t)
rich: 305 - X = 70 t

substituting both equations gives:
X = 146.562 miles

t = 2.26 hours or 2 hours and 15 mins