document.write( "Question 449750: One day, you are rollerblading on a trail while it is windy. You travel
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document.write( "along the trail, turn around and come back to your starting point. On your way out
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document.write( "on the trail, you are rollerblading against the wind. On your return trip, which is the
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document.write( "same distance, you are rollerblading with the wind. You can only travel 3 miles an
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document.write( "hour against the wind, which is blowing at a constant speed. You travel 8 miles an
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document.write( "hour with the wind. Use the models below to write and solve a system of equations
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document.write( "to find the average speed when there is no wind and the speed of the wind.\r
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document.write( "Against the wind: Your speed with no wind - Speed of wind = Your speed
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document.write( "With the wind: Your speed with no wind + Speed of wind = Your speed \n" );
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Algebra.Com's Answer #309356 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! On your way out on the trail, you are rollerblading against the wind. \n" ); document.write( " On your return trip, which is the same distance, you are rollerblading with the wind. \n" ); document.write( " You can only travel 3 miles an hour against the wind, which is blowing at a constant speed. \n" ); document.write( "You travel 8 miles an hour with the wind. \n" ); document.write( ": \n" ); document.write( "Seems like they are making this more complicated than necessary \n" ); document.write( ": \n" ); document.write( "Let s = speed with no wind \n" ); document.write( "Let w = speed of the wind \n" ); document.write( ": \n" ); document.write( "Write an equation with the wind and an equation against the wind \n" ); document.write( "s + w = 8 \n" ); document.write( "s - w = 3 \n" ); document.write( "---------------add these two equation, eliminates w, find s \n" ); document.write( "2s + 0 = 11 \n" ); document.write( "2s = 11 \n" ); document.write( "s = \n" ); document.write( "s = 5.5 mph when there is no wind \n" ); document.write( "then \n" ); document.write( "5.5 + w = 8 \n" ); document.write( "w = 8 - 5.5 \n" ); document.write( "w = 2.5 mph is the wind \n" ); document.write( "therefore \n" ); document.write( "5.5 + 2.5 = 8 mph with the wind \n" ); document.write( "and \n" ); document.write( "5.5 - 2.5 = 3 mph against \n" ); document.write( " \n" ); document.write( " |