document.write( "Question 1126541: Koech left home to a shopping centre 12km away, running at 8km/hr. 15minutes later, mutua left the same home and cycled to the shopping centre at 20km/hr. Calculate the distance to the shopping centre at which mutua caught up with koech? \n" ); document.write( "
Algebra.Com's Answer #742861 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "Koech left home to a shopping center \"12km\" away, running at \"8%28km%2Fh%29\".\r
\n" ); document.write( "\n" ); document.write( "\"d=12km\"
\n" ); document.write( "\"s=8%28km%2Fh%29\"
\n" ); document.write( "\"12km=8%28km%2Fh%29%2At\"..........eq.1\r
\n" ); document.write( "\n" ); document.write( "fifteen minutes later, mutual left the same home and cycled to the shopping center at \"20%28km%2Fh%29\"\r
\n" ); document.write( "\n" ); document.write( "\"15min=%281%2F4%29h=0.25h+\"\r
\n" ); document.write( "\n" ); document.write( "\"s=20%28+km%2Fh%29\"\r
\n" ); document.write( "\n" ); document.write( "time is \"t-0.25h\"\r
\n" ); document.write( "\n" ); document.write( "\"d\" is same: \"d=12km\"\r
\n" ); document.write( "\n" ); document.write( "\"12km=20%28+km%2Fh%29%28t-0.25h%29\"....eq.2\r
\n" ); document.write( "\n" ); document.write( "they will meet when\r
\n" ); document.write( "\n" ); document.write( "\"8%28km%2Fh%29%2At=20%28+km%2Fh%29%28t-0.25h%29\" solve for \"t\"\r
\n" ); document.write( "\n" ); document.write( "\"8cross%28%28km%2Fh%29%29%2At=20cross%28%28+km%2Fh%29%29%28t-0.25h%29\"\r
\n" ); document.write( "\n" ); document.write( "\"8t=20%28t-0.25h%29\"\r
\n" ); document.write( "\n" ); document.write( "\"8t=20t-20%2A0.25h\"\r
\n" ); document.write( "\n" ); document.write( "\"8t=20t-5h\"\r
\n" ); document.write( "\n" ); document.write( "\"20t-8t=5h\"\r
\n" ); document.write( "\n" ); document.write( "\"12t=5h\"\r
\n" ); document.write( "\n" ); document.write( "\"t=%285%2F12%29h\"\r
\n" ); document.write( "\n" ); document.write( "\"t\"\"0.416667h\"\r
\n" ); document.write( "\n" ); document.write( "ind distance:\r
\n" ); document.write( "\n" ); document.write( "\"d=8%28km%2Fh%29%2At\"\r
\n" ); document.write( "\n" ); document.write( "\"d=8%28km%2Fh%29%2A0.416667h\"\r
\n" ); document.write( "\n" ); document.write( "\"d=3.333333km\"-> Koech\r
\n" ); document.write( "\n" ); document.write( "\"d=20%28+km%2Fh%29%280.416667h-0.25h%29\"\r
\n" ); document.write( "\n" ); document.write( "\"d=20%28+km%2Fh%29%280.166666667h%29\"\r
\n" ); document.write( "\n" ); document.write( "\"d=3.3333333km\"->the distance to the shopping center at which Mutua caught up with Koech\r
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