document.write( "Question 845917: i need ur help on travel and distance problems plzzzzzz......\r
\n" ); document.write( "\n" ); document.write( "a motorist drove 150 miles on the highway before driving 50 miles on the mountain roads.the rate speed on the highway was 3 times the rate on the mountain roads.the time spent travelling the 200 miles was 5 hours .find the rate of the motorist in the highway?
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Algebra.Com's Answer #509484 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+t+\" = time in hrs spent on mountain roads
\n" ); document.write( "\"+5+-+t+\" = time in hrs spent on highway
\n" ); document.write( "Let \"+s+\" = motorist's speed in mi/hr on mountain roads
\n" ); document.write( "\"+3s+\" = motorist's speed in mi/hr on highway
\n" ); document.write( "---------------------------------------------------
\n" ); document.write( "For mountain roads:
\n" ); document.write( "(1) \"+50+=+s%2At+\"
\n" ); document.write( "For highway:
\n" ); document.write( "(2) \"+150+=+3s%2A%28+5+-+t+%29+\"
\n" ); document.write( "----------------------------------
\n" ); document.write( "(2) \"+150+=+15s+-+3s%2At+\"
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+150+=+15s+-+3%2A50+\"
\n" ); document.write( "(2) \"+150+=+15s+-+150+\"
\n" ); document.write( "(2) \"+15s+=+300+\"
\n" ); document.write( "(2) \"+s+=+20+\"
\n" ); document.write( "and
\n" ); document.write( "\"+3s+=+60+\"
\n" ); document.write( "The motorist's rate on the highway was 60 mi/hr
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+50+=+s%2At+\"
\n" ); document.write( "(1) \"+50+=+20%2At+\"
\n" ); document.write( "(1) \"+t+=+2.5+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+150+=+3s%2A%28+5+-+t+%29+\"
\n" ); document.write( "(2) \"+150+=+60%2A%28+5+-+t+%29+\"
\n" ); document.write( "(2) \"+150+=+300+-+60t+\"
\n" ); document.write( "(2) \"+60t+=+150+\"
\n" ); document.write( "(2) \"+t+=+15%2F6+\"
\n" ); document.write( "(2) \"+t+=+2.5+\"
\n" ); document.write( "OK
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