SOLUTION: On a 600-mile trip, the traveler traveled 50 miles per hour for the first 1/3 of the trip and at 40 miles per hour for the rest of the trip. What was the traveled average speed fo

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: On a 600-mile trip, the traveler traveled 50 miles per hour for the first 1/3 of the trip and at 40 miles per hour for the rest of the trip. What was the traveled average speed fo      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 414764: On a 600-mile trip, the traveler traveled 50 miles per hour for the first 1/3 of the trip and at 40 miles per hour for the rest of the trip. What was the traveled average speed for the entire trip?
The answer is supposed to be 300/7 mph, but I don't know how to get that. Can someone please help?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The average speed is always (total distance traveled)/(time to travel that distance)
A common mistake is to take an average of 2 averages, which gives the wrong answer.
The 1st 1/3 of the trip is %281%2F3%29%2A600+=+200 mi
200+=+50%2At%5B1%5D
t%5B1%5D+=+4 hrs
------------
The rest of the trip is 2%2F3%29%2A600+=+400 mi
400+=+40%2At%5B2%5D
t%5B2%5D+=+10 hrs
------------
(total distance traveled)/(time to travel that distance) = 600%2F%284+%2B+10%29
600%2F14+=+300%2F7 mi/hr