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)\"\" \"About 
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( "
\n" );