document.write( "Question 507460: You and your friend part at an intersection. You travel north at a constant speed and your friend travels east at the same speed plus 5 mph. After traveling for three hours the distance between the two in 222.99 miles. At what speed were you traveling? \n" ); document.write( "
Algebra.Com's Answer #340469 by lwsshak3(11628)\"\" \"About 
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your friend part at an intersection. You travel north at a constant speed and your friend travels east at the same speed plus 5 mph. After traveling for three hours the distance between the two in 222.99 miles. At what speed were you traveling
\n" ); document.write( "**
\n" ); document.write( "let x=speed (mph) you are traveling
\n" ); document.write( "x+5=speed (mph) your friend is traveling
\n" ); document.write( "distance=speed*travel time
\n" ); document.write( "distance you traveled=3x
\n" ); document.write( "distance friend traveled=3(x+5)
\n" ); document.write( "By Pathagorean Theorem
\n" ); document.write( "(3x)^2+[3(x+5])^2 =(222.99)^2
\n" ); document.write( "9x^2+9(x^2+10x+25)=49724.54
\n" ); document.write( "9x^2+9x^2+90x+225=49724.54
\n" ); document.write( "18x^2+90x-49499.54 =0
\n" ); document.write( "let student solve by quadratic formula
\n" ); document.write( "ans:
\n" ); document.write( "x=-55 mph-rounded (reject, speed>0)
\n" ); document.write( "or
\n" ); document.write( "x=50 mph-rounded
\n" ); document.write( "ans:
\n" ); document.write( "You were traveling at a speed of 50 mph \n" ); document.write( "
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