document.write( "Question 530936: My math question is:
\n" );
document.write( "Steve and Jordan are riding bikes. Jordan is riding at 7 mph and Steve is riding at 6 mph. If Jordan is 5 miles behind Steve, how long will it take for Jordan to catch up to Steve?
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #350263 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Steve and Jordan are riding bikes. Jordan is riding at 7 mph and Steve is riding at 6 mph. If Jordan is 5 miles behind Steve, how long will it take for Jordan to catch up to Steve?\r \n" ); document.write( "\n" ); document.write( "------------------------------------ \n" ); document.write( "Jordan DATA: \n" ); document.write( "rate = 7 mph ; distance = x miles ; time = x/7 hrs = (60/7)x minutes \n" ); document.write( "------ \n" ); document.write( "Steve DATA: \n" ); document.write( "rate = 6 mph ; distance = x-5 miles ; time = (x-5)/6 hrs = 10*(x-5) minutes \n" ); document.write( "================= \n" ); document.write( "Equation: \n" ); document.write( "(60/7)x = 10(x-5) \n" ); document.write( "60x = 70x - 350 \n" ); document.write( "10x = 350 \n" ); document.write( "x = 35 miles \n" ); document.write( "---- \n" ); document.write( "Time Jordan needed to catch Steve: \n" ); document.write( "(60/7)x = 60/7 * 35 = 300 minutes = 5 hours \n" ); document.write( "============================== \n" ); document.write( "Quicker method: \n" ); document.write( "At 7 mph Jordan gains 1 mile in 1 hour \n" ); document.write( "So after 5 hours Jordan has caught up with Steve. \n" ); document.write( "============================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "====================== \n" ); document.write( " |