the journey. When he awoke, he still had to tr the distance he had traveled while he was asleep. For what part of the entire journey had he been asleep?

Question

While traveling to his grandma's house for Christmas George fell asleep halfway through the journey. When he awoke, he still had to travel half the distance he had traveled while he was asleep. For what part of the entire journey had he been asleep?

Answer 1

Let L be the total length of the journey.

Let x be the length of trip he was asleep.  

When he fell asleep he had travel L/2 and had L/2 left to go.

When he awoke he had to travel x/2 - that is half the distance travelled while he was asleep.  

x+x/2 = L/2

solve for x = L/3