Question 1125632
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Juan drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours. 
When Juan drove home, there was no traffic and the trip only took 6 hours. If his average rate was 16 miles per hour 
faster on the trip home, how far away does Juan live from the mountains?
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The correct "speed" equation is


    {{{D/8}}} + 16 = {{{D/6}}},


where D is one way distance. 


The equation says that the speed at the 6-hours trip (the right side)  was 16 miles per hour faster than at the 8-hours trip.


To solve the equation, multiply both sides by 24. You will get


    3D + 16*24 = 4D,   or


    D = 16*24 = 384 miles.


<U>Answer</U>.  One way distance is  384 miles.
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