document.write( "Question 690247: Peter drove a distance of 189 miles. Part of the time he averaged 65 miles per hour, and for the remaining time, he averaged 55 miles per hour. The entire trip took 3 hours. How long did he travel at each rate? \n" ); document.write( "
Algebra.Com's Answer #426236 by josmiceli(19441)\"\" \"About 
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Let \"+d+\" = the distance traveled at \"+65+\" mi/hr
\n" ); document.write( "\"+189+-+d+\" = the distance traveled at \"+55+\" mi/hr
\n" ); document.write( "Let \"+t+\" = his time spent traveling at \"+65+\" mi/hr
\n" ); document.write( "\"+3-+t+\" = his time spent traveling at \"+55+\" mi/hr
\n" ); document.write( "------------------
\n" ); document.write( "Equation for \"+65+\" mi/hr:
\n" ); document.write( "(1) \"+d+=+65t+\"
\n" ); document.write( "Equation for \"+55+\" mi/hr:
\n" ); document.write( "(2) \"+189+-+d+=+55%2A%28+3+-+t+%29+\"
\n" ); document.write( "-------------------------
\n" ); document.write( "(2) \"+189+-+d+=+165+-+55t+\"
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+189+-+65t+=+165+-+55t+\"
\n" ); document.write( "(2) \"+65t+-+55t+=+189+-+165+\"
\n" ); document.write( "(2) \"+10t+=+24+\"
\n" ); document.write( "(2) \"+t+=+2.4+\"
\n" ); document.write( "\"+.4%2A60+=+24+\"
\n" ); document.write( "\"+3+-+2.4+=+.6+\"
\n" ); document.write( "\"+.6%2A60+=+36+\"
\n" ); document.write( "He spent 2 hrs and 24 min traveling at \"+65+\" mi/hr
\n" ); document.write( "He spent 36 min traveling at \"+55+\" mi/hr
\n" ); document.write( "check answer:
\n" ); document.write( "(2) \"+189+-+d+=+55%2A%28+3+-+t+%29+\"
\n" ); document.write( "(2) \"+189+-+d+=+55%2A%28+3+-+2.4+%29+\"
\n" ); document.write( "(2) \"+189+-+d+=+.6%2A55+\"
\n" ); document.write( "(2) \"+d+=+189+-+33+\"
\n" ); document.write( "(2) \"+d+=+156+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+d+=+65t+\"
\n" ); document.write( "(1) \"+d+=+65%2A2.4+\"
\n" ); document.write( "(1) \"+d+=+156+\"
\n" ); document.write( "OK\r
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