Posted by **Matt** on Saturday, July 13, 2013 at 12:20pm.

A family drove 1080 miles to their vacation lodge. Because of increased traffic density, their average speed on the return trip was decreased by 6 miles per hour and the trip took 2.5 hours longer. Determine their average speed on the way to the lodge.

- College Algebra -
**Steve**, Saturday, July 13, 2013 at 7:14pm
since time = distance/speed,

1080/s + 5/2 = 1080/(s-6)

s = 54

So, speed out = 54, sped back = 48

2160/(1080/54 + 1080/48) = 50.8 mph avg speed

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