Question 182256
Let t = time it takes to get TO the retreat.
Then 10-t =  time it takes to get BACK from the retreat.


Distance to the retreat = Distance back from the retreat
Rate * Time = Rate * Time
50*t = 75(10-t)
50t = 750 -75t
50t+75t = 750
125t=750
t=6 hours to get TO the retreat at 50 mph = 300 miles


As a check, this means that it took only 4 hours to return at 75 mph.
4*75 = 300 miles, and it checks!!


R^2