document.write( "Question 1109742: An athlete can jog at twice her walking pace. By walking for a total of 1h 40 mins and jogging for a total of 30 minutes she covers a total distance of 16km. What is her walking pace in kilometres per hour (kph)? \n" ); document.write( "
Algebra.Com's Answer #724688 by josmiceli(19441)\"\" \"About 
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Convert minutes to hrs
\n" ); document.write( "\"+40%2A%281%2F60%29+=+2%2F3+\" hrs
\n" ); document.write( "\"+1+%2B+2%2F3+=+5%2F3+\" hrs
\n" ); document.write( "and
\n" ); document.write( "\"+30%2A%281%2F60%29+=+1%2F2+\" hrs
\n" ); document.write( "-----------------------------
\n" ); document.write( "Let \"+r+\" = the walking pace
\n" ); document.write( "\"+2r+\" = jogging pace
\n" ); document.write( "Let \"+d+\" = distance walking in km
\n" ); document.write( "\"+6+-+d+\" = distance jogging in km
\n" ); document.write( "-----------------------------
\n" ); document.write( "(1) \"+d+=+r%2A%285%2F3%29+\"
\n" ); document.write( "(2) \"+6+-+d+=+2r%2A%281%2F2%29+\"
\n" ); document.write( "-----------------------------
\n" ); document.write( "(2) \"+d+=+6+-+r+\"
\n" ); document.write( "Plug (1) into (2)
\n" ); document.write( "(2) \"+6+-+r%2A%285%2F3%29+=+r+\"
\n" ); document.write( "(2) \"+18+-+5r+=+3r+\"
\n" ); document.write( "(2) \"+8r+=+18+\"
\n" ); document.write( "(2) \"+r+=+2.25+\"
\n" ); document.write( "-----------------------
\n" ); document.write( "Her walking pace is 2.25 km/hr
\n" ); document.write( "--------------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+d+=+%289%2F4%29%2A%285%2F3%29+\"
\n" ); document.write( "(1) \"+d+=+15%2F4+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+6+-+15%2F4+=+9%2F4+\"
\n" ); document.write( "(2) \"+6+=+24%2F4+\"
\n" ); document.write( "(2) \"+6+=+6+\"
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( "
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