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)![]() ![]() You can put this solution on YOUR website! 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( " |