document.write( "Question 697453: kiran sets off on a walk at a speed
\n" ); document.write( "of 6km/h. 10 minutes later, her
\n" ); document.write( "brother Ali sets off her on his bicycle
\n" ); document.write( "at 15km/h. How far must Ali go to
\n" ); document.write( "catch up with Kiran?
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Algebra.Com's Answer #430023 by josmiceli(19441)\"\" \"About 
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Start a stopwatch when Ali leaves. By then,
\n" ); document.write( "Kiran has had a head start of \"+10%2F60+=+1%2F6+\" hrs
\n" ); document.write( "and a distance of \"+6%2A%281%2F6%29+=+1+\" km
\n" ); document.write( "--------------
\n" ); document.write( "Let \"+t+\" = the time in hrs on the stopwatch when
\n" ); document.write( "Ali catches Kiran.
\n" ); document.write( "Let \"+d+\" = the distance in km that Ali travels
\n" ); document.write( "in time \"+t+\".
\n" ); document.write( "---------------
\n" ); document.write( "Kiran's equation:
\n" ); document.write( "(1) \"+d+-+1+=+6t++\"
\n" ); document.write( "Ali's equation:
\n" ); document.write( "(2) \"+d+=+15t+\"
\n" ); document.write( "----------------
\n" ); document.write( "(1) \"+d+=+6t+%2B+1+\"
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+d+=+15t+\"
\n" ); document.write( "(2) \"+6t+%2B+1+=+15t+\"
\n" ); document.write( "(2) \"+9t+=+1+\"
\n" ); document.write( "(2) \"+t+=+1%2F9+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+d+=+15t+\"
\n" ); document.write( "(2) \"+d+=+15%2A%281%2F9%29+\"
\n" ); document.write( "(2) \"+d+=+15%2F9+\"
\n" ); document.write( "Ali must travel 1.667 km to catch Kiran
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+d+-+1+=+6t++\"
\n" ); document.write( "(1) \"+15%2F9+-+1+=+6%2A%281%2F9%29++\"
\n" ); document.write( "(1) \"+15%2F9+-+9%2F9+=+6%2A%281%2F9%29++\"
\n" ); document.write( "(1) \"+15+-+9+=+6+\"
\n" ); document.write( "(1) \"+6+=+6+\"
\n" ); document.write( "OK
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