SOLUTION: On an automobile trip, a traveler drives at a speed of 55 mph for 2 hours and then stops for 30 minutes to rest. He then repeats this behavior over and over again. What is the tra

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Question 526330: On an automobile trip, a traveler drives at a speed of 55 mph for 2 hours and then stops for 30 minutes to rest. He then repeats this behavior over and over again.
What is the traveler's average velocity?
How long will it take to complete a 600 mile journey?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
On an automobile trip, a traveler drives at a speed of 55 mph for 2 hours and then stops for 30 minutes to rest.
He then repeats this behavior over and over again.
:
What is the traveler's average velocity?
:
We can say he travels 110 miles in 2.5 hrs (v = dist/time)
v = 110%2F2.5
v = 44 mph
:
How long will it take to complete a 600 mile journey? (t = dist/velocity)
t = 600%2F44
t = 13.636 hrs, however, I am not quite sure if that last 30 min rest should be included in this, perhaps the time would be 13.136 hrs (a half hr less)
:
Let's say 600 - 110 = 490 mi at 44 mph 490/44 = 11.136 hrs, then
the last 110 mi in two hrs: 11.136 + 2 = 13.136 hrs, like we suggested above.