SOLUTION: While traveling to his grandmother's for Easter, George fell asleep halfway through the journey. When he awoke, he still had to travel half the distance that he had traveled while

Algebra ->  Formulas -> SOLUTION: While traveling to his grandmother's for Easter, George fell asleep halfway through the journey. When he awoke, he still had to travel half the distance that he had traveled while       Log On


   

Question 50423: While traveling to his grandmother's for Easter, George fell asleep halfway through the journey. When he awoke, he still had to travel half the distance that he had traveled while sleeping. For what part of the entire journey had he been asleep?

Thanks For you Time!
Ian
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
1/2+1/x+1/2x=1 or (x+2+1)/2x=1 or 2x=x+2+1 or x=3 thus 1/2+1/3+1/2*3=1 or
he had been sleeping 1/3 of the trip.
1/2+1/3+1/6=1 or 3/6+2/6+1/6=1 or 6/6=1 or 1=1