Question 117476
Rate x Time = Distance 
Time = Distance/Rate
Transfer all of the rates and distances into time.
Total Time = Drive Time + Break Time 
Total Time = 1175 miles/55 mph + 45/60 hours
Total Time = 21.36 hours + 0.75 hours
Total Time = 22.11 hours or 22 hours 7 minutes.
Remember to watch the units, all distances should be the same units (miles).
All times should be in the same units (hours). 
If you have to slow down, that changes the distance and rate
Total Time = (1175-30)/55 + 30/10 + 45/60 
Total Time = 20.82 + 3.0 + 0.75 
Total Time = 24 hours 34 minutes.
It adds 2 hours, 27 minutes minutes to slow down for the 30 miles at 10 mph.