Question 415742
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Hi
Let x and ( x-2hr) represent the times that Sam and Allen traveled respectively
 Question states***  D = r*t  (distances being the same for both
 45mph*x = 55mph(x-2)
Solving for x
    110 = 10x
     11hr = x, time Sam traveled.  Allen traveled 9 hrs.

CHECKING our Answer***
45mph*11hr = 55mph*9hr = 495mi