document.write( "Question 236272: Peter drove a distance of 189 miles. Part of the time he averaged 65 miles per hour and for the remaining time, 55 miles per hour. The entire trip tool 3 hours. How long did he travel at each rate? \n" ); document.write( "
Algebra.Com's Answer #173945 by stanbon(75887)\"\" \"About 
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Peter drove a distance of 189 miles. Part of the time he averaged 65 miles per hour and for the remaining time, 55 miles per hour. The entire trip tool 3 hours. How long did he travel at each rate?
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\n" ); document.write( "1st part DATA:
\n" ); document.write( "distance = x miles ; rate = 65 mph ; time = d/r = x/65 hrs
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\n" ); document.write( "2nd part DATA:
\n" ); document.write( "distance = 189-x miles ; rate = 55 mph ; time = (189-x)/55 hrs.
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\n" ); document.write( "Equation:
\n" ); document.write( "1st time + 2nd time = 3 hrs
\n" ); document.write( "x/65 + (189-x)/55 = 3
\n" ); document.write( "55x + 65(189-x) = 3*55*65
\n" ); document.write( "55x + 65*189 - 65x = 165*65
\n" ); document.write( "-10x = -24*65
\n" ); document.write( "x = 156 miles (distance he traveled at 65 mph)
\n" ); document.write( "189-x = 33 miles (distance he traveled at 55 mph)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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