document.write( "Question 1042463: Brandy dawson and Jason dodge start a motorcycle trip at the same point north of Fort Worth, Texas. Both traveling to San Antonio, Texas, a distance of about 400 kilometers. Brandy rides 30 kilometers per hour faster than Jason does. When Brandy reaches her destination, Jason has only traveled to Austin, Texas, a distance of about 250 kilometers. Determine the approximate speed of each motorcycle. \n" ); document.write( "
Algebra.Com's Answer #657447 by josmiceli(19441)\"\" \"About 
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Let \"+t+\" = time in hrs for both of them
\n" ); document.write( "Let \"+s+\" = Jason's speed in km/hr
\n" ); document.write( "\"+s+%2B+30+\" = Brandy's speed in km/hr
\n" ); document.write( "Jason's equation:
\n" ); document.write( "(1) \"+250+=+s%2At+\"
\n" ); document.write( "Brandy's equation:
\n" ); document.write( "(2) \"+400+=+%28+s+%2B+30+%29%2At+\"
\n" ); document.write( "---------------------
\n" ); document.write( "(1) \"+t+=+250%2Fs+\"
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+400+=+%28+s+%2B+30+%29%2A%28+250%2Fs+%29+\"
\n" ); document.write( "(2) \"+400s+=+250s+%2B+7500+\"
\n" ); document.write( "(2) \"+150s+=+7500+\"
\n" ); document.write( "(2) \"+15s+=+750+\"
\n" ); document.write( "(2) \"+s+=+50+\"
\n" ); document.write( "and
\n" ); document.write( "\"+s+%2B+30+=+80+\"
\n" ); document.write( "-------------------
\n" ); document.write( "Brandy's speed was 80 km/hr
\n" ); document.write( "Jason's speed was 50 km/hr
\n" ); document.write( "--------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+t+=+250%2Fs+\"
\n" ); document.write( "(1) \"+t+=+250%2F50+\"
\n" ); document.write( "(1) \"+t+=+5+\" hrs
\n" ); document.write( "and
\n" ); document.write( "(2) \"+400+=+%28+s+%2B+30+%29%2At+\"
\n" ); document.write( "(2) \"+400+=+%28+50+%2B+30+%29%2At+\"
\n" ); document.write( "(2) \"+400+=+80t+\"
\n" ); document.write( "(2) \"+t+=+400%2F80+\"
\n" ); document.write( "(2) \"+t+=+5+\" hrs
\n" ); document.write( "OK
\n" ); document.write( "
\n" );