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anonymous
 5 years ago
mr. Duncan traveled to a city 180 miles from him home to attend a meeting. Due to car trouble, his average speed returning was 13 miles less than his speed going. If the total time for the road trip was 7 hours, at what rate of speed did he travel to the city? (round to nearest tenth)
anonymous
 5 years ago
mr. Duncan traveled to a city 180 miles from him home to attend a meeting. Due to car trouble, his average speed returning was 13 miles less than his speed going. If the total time for the road trip was 7 hours, at what rate of speed did he travel to the city? (round to nearest tenth)

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0It was 7 hours total round trip?

heisenberg
 5 years ago
Best ResponseYou've already chosen the best response.0\[\frac{miles}{hour} * hour = miles\] so\[hour = \frac{miles}{\frac{miles}{hour}}\]

heisenberg
 5 years ago
Best ResponseYou've already chosen the best response.0so the total time is that for each leg of the journey:

heisenberg
 5 years ago
Best ResponseYou've already chosen the best response.0\[7 = \frac{180}{x} + \frac{180}{x  13}\]

heisenberg
 5 years ago
Best ResponseYou've already chosen the best response.0solve for x. not sure if this makes sense, even to me :)

heisenberg
 5 years ago
Best ResponseYou've already chosen the best response.0a better way to restate what i first said: \[average speed * time = distance\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0okk. So i got 30420 when I did that. ha. I'm sure what you did makes sense. I just am lost with this problem a bit. Did you get a solution at all?

heisenberg
 5 years ago
Best ResponseYou've already chosen the best response.0hmm you may have made a mistake with your numbers. let me try and step through it. i am checking my answer here: http://www.wolframalpha.com/input/?i=7+%3D+180%2Fx+%2B+180%2F(x13) it gives approx 59mph. also gives approx 6mph as well, so i may be wrong.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ohh hmm. I wonder which one it is. According to where you checked it the answer is 59 mph?

heisenberg
 5 years ago
Best ResponseYou've already chosen the best response.0there are actually two solutions listed there, which seems indicative of something wrong. but I'm not too sure about that. I would guess 59 because if it was 6mph, then on the way home he would have been going 613 mph which is impossible.
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