SOLUTION: Mr. Martin traveled to a city 350 miles from his home to attend a meeting. Due to car trouble, his average speed returning was 11 mph less than his speed going. If the total time

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Question 1035183: Mr. Martin traveled to a city 350 miles from his home to attend a meeting. Due to car trouble, his average speed returning was 11 mph less than his speed going. If the total time for the round trip was 18 hours, at what rate of speed did he travel to the city? (Round your answer to the nearest tenth.)
Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
Let n= speed on return trip. Then traveling to speed is n+11. So:
350/n+350/n+11=18
350(n+11)+350n=18(n^2+11n)
350n+350n+3850=18n^2+198n
18n^2-502n-3850=0
Using the quadratic formula, n=34.15. N+11=45.15!!!!!!!!