SOLUTION: Travis made a business trip of 305.5 miles. He averaged 49 mph for the first part of the trip and 61 mph for the second part. If the trip took 5.5 hours, how long

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Travis made a business trip of 305.5 miles. He averaged 49 mph for the first part of the trip and 61 mph for the second part. If the trip took 5.5 hours, how long      Log On

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Question 1052466: Travis made a business trip of
305.5
miles. He averaged
49
mph for the first part of the trip and
61
mph for the second part. If the trip took
5.5
hours, how long did he travel at each rate?

Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
Let n be the number of hours traveled at 61 mph. Then:
61n+49(5.5-n)=305.5
12n+269.5=305.5
12n=36
n=3
He drove 3 hours at 61 mph, and 2.5 hours at 49 mph. ☺☺☺☺