document.write( "Question 941036: a car travel 300km at uniform rate.if the speed of the car had been 5km/h more, the journey would have taken 2 hours less.what is the speed of car? \n" ); document.write( "
Algebra.Com's Answer #573572 by josmiceli(19441)\"\" \"About 
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Let \"+s+\" = the car's normal rate
\n" ); document.write( "Let \"+t+\" = the car's time traveling at it's normal rate
\n" ); document.write( "(1) \"+300+=+s%2At+\"
\n" ); document.write( "(2) \"+300+=+%28+s+%2B+5+%29%2A%28+t+-+2+%29+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "(2) \"+300+=+s%2At+%2B+5t+-+2s+-+10+\"
\n" ); document.write( "(2) \"+310+=+s%2At+%2B+5t+-+2s+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+t+=+300%2Fs+\"
\n" ); document.write( "---------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+310+=+300+%2B+1500%2Fs+-+2s+\"
\n" ); document.write( "(2) \"+1500%2Fs+-+2s+=+10+\"
\n" ); document.write( "(2) \"+1500+-+2s%5E2+=+10s+\"
\n" ); document.write( "(2) \"+2s%5E2+%2B+10s+-+1500+=+0+\"
\n" ); document.write( "(2) \"+s%5E2+%2B+5s+-+750+=+0+\"
\n" ); document.write( "(2) \"+%28+s+%2B+30+%29%2A%28+s+-+25+%29+=+0+\" ( figured out by noting: \"+750+=+25%2A30+\" )
\n" ); document.write( "\"+s+=+25+\" ( can't use negative \"+30+\" speed )
\n" ); document.write( "The car's speed in 25 km/hr
\n" ); document.write( "-------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+300+=+25%2At+\"
\n" ); document.write( "(1) \"+t+=+12+\" hrs
\n" ); document.write( "and
\n" ); document.write( "(2) \"+300+=+%28+s+%2B+5+%29%2A%28+t+-+2+%29+\"
\n" ); document.write( "(2) \"+300+=+%28+25+%2B+5+%29%2A%28+12+-+2+%29+\"
\n" ); document.write( "(2) \"+300+=+30%2A10+\"
\n" ); document.write( "(2) \"+300+=+300+\"
\n" ); document.write( "OK\r
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