document.write( "Question 1110487: Car A is traveling along a freeway at 100km/h when it is passed by car B. If both cars maintain a constant speed and the end of the freeway is in 10km away, find the speed at which car B must travel to beat car A to the end of the freeway by one minute. \n" ); document.write( "
Algebra.Com's Answer #725493 by josmiceli(19441)\"\" \"About 
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\"+100+\" km/hr = speed of car A
\n" ); document.write( "Let \"+100+%2B+s+\" = speed of car B
\n" ); document.write( "Convert minutes to hrs
\n" ); document.write( "\"+1%2A%281%2F60%29+=+1%2F60+\" hrs
\n" ); document.write( "Let \"+t+\" = time in hrs for car A to
\n" ); document.write( "travel \"+10+\" km
\n" ); document.write( "------------------------------
\n" ); document.write( "Car A's equation:
\n" ); document.write( "(1) \"+10+=+100t+\"
\n" ); document.write( "Car B's equation:
\n" ); document.write( "(2) \"+10+=+%28+100+%2B+s+%29%2A%28+t+-+1%2F60+%29+\"
\n" ); document.write( "-------------------------------------
\n" ); document.write( "(1) \"+t+=+1%2F10+\"
\n" ); document.write( "Plug (1) into (2)
\n" ); document.write( "(2) \"+10+=+%28+100+%2B+s+%29%2A%28+6%2F60+-+1%2F60+%29+\"
\n" ); document.write( "(2) \"+10+=+%28+100+%2B+s+%29%2A%28+1%2F12+%29+\"
\n" ); document.write( "(2) \"+100+%2B+s+=+120+\"
\n" ); document.write( "(2) \"+s+=+20+\" km/hr
\n" ); document.write( "-------------------------------------
\n" ); document.write( "Car B's speed is \"+100+%2B+s+=+120+\"
\n" ); document.write( "120 km/hr
\n" ); document.write( "-------------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+10+=+%28+100+%2B+20+%29%2A%28++t+-+1%2F60+%29+\"
\n" ); document.write( "(2) \"+10%2F120+=+t+-+1%2F60+\"
\n" ); document.write( "(2) \"+t+=+5%2F60+%2B+1%2F60+\"
\n" ); document.write( "(2) \"+t+=+6%2F60+\"
\n" ); document.write( "(2) \"+t+=+1%2F10+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" ); document.write( "
\n" );