document.write( "Question 159779: ) In 1/4 of an hour more time. Jack. riding his bicycle at 12 miles per hour, rode 6 miles farther than Nikki, who was riding her bicycle at 10 miles per hour. How long did Jack ride? \n" ); document.write( "
Algebra.Com's Answer #117823 by KnightOwlTutor(293)\"\" \"About 
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1/4 of an hour is .25\r
\n" ); document.write( "\n" ); document.write( "X=the time traveled by Nikki\r
\n" ); document.write( "\n" ); document.write( "X+.25=time traveled by Jack\r
\n" ); document.write( "\n" ); document.write( "(speed)(time)=distance\r
\n" ); document.write( "\n" ); document.write( "10(X)=distance Nikki traveled
\n" ); document.write( "12(X+.25)=distance Jack traveled\r
\n" ); document.write( "\n" ); document.write( "The equation is\r
\n" ); document.write( "\n" ); document.write( "X(10)+6=12(X+.25)\r
\n" ); document.write( "\n" ); document.write( "10X+6=12X+3\r
\n" ); document.write( "\n" ); document.write( "Subract 10X from each side\r
\n" ); document.write( "\n" ); document.write( "6=2X+3\r
\n" ); document.write( "\n" ); document.write( "Subtract 3 from both sides
\n" ); document.write( "3=2X\r
\n" ); document.write( "\n" ); document.write( "Divide 2 on both sides\r
\n" ); document.write( "\n" ); document.write( "1.5 =X\r
\n" ); document.write( "\n" ); document.write( "1.5 is the time it took Nikki to ride\r
\n" ); document.write( "\n" ); document.write( "(1.5+.25)=1.75 hour time it took Jack to ride\r
\n" ); document.write( "\n" ); document.write( "Plug in values to check your answer\r
\n" ); document.write( "\n" ); document.write( "10(1.5) +6=12(1.75)\r
\n" ); document.write( "\n" ); document.write( "15+6=21\r
\n" ); document.write( "\n" ); document.write( "21=21
\n" ); document.write( "
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