document.write( "Question 642232: Hannah traveled the 320 mile trip in 2 hours more than Anna. This was because Anna traveled twice as fast as Hannah. How fast did each travel and for how long? \n" ); document.write( "
Algebra.Com's Answer #403994 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Hannah traveled the 320 mile trip in 2 hours more than Anna. This was because Anna traveled twice as fast as Hannah. How fast did each travel and for how long? \n" ); document.write( "-------- \n" ); document.write( "Hannah DATA: \n" ); document.write( "distance = 320 miles ; time = x + 2 hrs ; rate = 320/(x+2) mph \n" ); document.write( "---------------- \n" ); document.write( "Anna DATA: \n" ); document.write( "distance = 320 miles ; time = x hrs ; rate = 320/x mph \n" ); document.write( "------------------ \n" ); document.write( "Equation: \n" ); document.write( "320/x = 2[320/(x+2)] \n" ); document.write( "1/x = 2/(x+2) \n" ); document.write( "2x = x+2 \n" ); document.write( "x = 2 hrs \n" ); document.write( "----- \n" ); document.write( "Hannah's rate: 320/(x+2) = 320/4 = 80 mph \n" ); document.write( "----- \n" ); document.write( "Anna's rate: 320/x = 320/2 = 160 mph \n" ); document.write( "=========================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |