Very nice, Landry......here's another approach
The combined rates = 377.2
And the total distance to cover = 252.5 miles .......so.....
Distance / Rate = Total Time for the trip in hours ..... and we have
252.5 / 377.2 = about .668 hrs
And in minutes this is about .668 x 60 = 40 minutes
And....since they have already traveled 8 minutes, they have 32 more to travel .........so they will meet at 10:40..........as Landry found
