document.write( "Question 347088: Two bicycle riders start at the same point and travel in opposite directions. One travels 5 kilometers per hour faster than the other. In 3 hours they are 117 kilometers apart: How fast is each traveling? Thanks !! \n" ); document.write( "
Algebra.Com's Answer #248165 by stanbon(75887) ![]() You can put this solution on YOUR website! Two bicycle riders start at the same point and travel in opposite directions. One travels 5 kilometers per hour faster than the other. In 3 hours they are 117 kilometers apart: How fast is each traveling? \n" ); document.write( "-------- \n" ); document.write( "1st rider DATA: \n" ); document.write( "time = 3 hrs. ; rate = x km/h ; distance = 3x km \n" ); document.write( "------------------------ \n" ); document.write( "2nd rider DATA: \n" ); document.write( "time = 3 hrs. ; rate = x+5 km/h ; distance 3(x+5) km \n" ); document.write( "========================== \n" ); document.write( "Equation: \n" ); document.write( "distance + distance = 117 km \n" ); document.write( "3x + 3(x+5) = 117 km \n" ); document.write( "3x + 3x+15 = 117 \n" ); document.write( "6x = 102 \n" ); document.write( "x = 17 km/h (1st rider rate) \n" ); document.write( "==== \n" ); document.write( "x+5 = 22 km/h (2nd rider rate) \n" ); document.write( "================================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |