The distance from Philadelphia to Pittsburgh is 305 miles.
Both are travelling towards each other. When they will meet the sum of distance traveled by both would be 305 miles, as together they have covered the entire distance between the two cities.
We know that:
Distance = Speed x Time
We know the distance. We know the speeds. Since they are travelling towards each other, the overall speed will be the sum of speeds of Rich and Michelle. So we can say with a speed of 135 mph they have to cover 305 miles.
305 = 135 x Time
Time = 305/135 = 2.25 hours = 2 hours and 15 minutes
So, they will meet after 2 hours and 15 minutes.
So, C option is the correct answer
