document.write( "Question 672110: Cheryl and Judy trudged at 4 mph until their packs got too heavy. Then they dropped their packs and continued at the brisk pace of 6 mph. If the total trip of 56 miles took 12 hours, how long did they trudge? How long did they walk briskly. \n" ); document.write( "
Algebra.Com's Answer #417808 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Cheryl and Judy trudged at 4 mph until their packs got too heavy. Then they dropped their packs and continued at the brisk pace of 6 mph. If the total trip of 56 miles took 12 hours, how long did they trudge? How long did they walk briskly. \n" ); document.write( "----- \n" ); document.write( "Trudge DATA: \n" ); document.write( "rate = 4 mph ; distance = x miles ; time = x/4 hrs \n" ); document.write( "---------------------- \n" ); document.write( "Brisk Pace DATA: \n" ); document.write( "rate = 6 mph ; distance = 56-x miles ; time = (56-x)/6 hrs \n" ); document.write( "--------- \n" ); document.write( "Equation: \n" ); document.write( " time + time = 12 hrs. \n" ); document.write( "x/4 + (56-x)/6 = 12 \n" ); document.write( "6x +4(56-x) = 24*12 \n" ); document.write( "---- \n" ); document.write( "6x + 224 - 4x = 24*12 \n" ); document.write( "2x = 64 \n" ); document.write( "x = 32 miles (trudge distance) \n" ); document.write( "56-x = 24 miles (brisk pace distance) \n" ); document.write( "========================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "==================== \n" ); document.write( " |