document.write( "Question 389884: Sally and Rocky travel on motorcycles toward each other from Chicago and Indianapolis, which are about 350 km apart, and they are biking at the rates of 110 km/h and 90 km/h. They started at the same time. In how many hours will they meet?
\n" ); document.write( "Show your work not just the final answer. \n" ); document.write( "

Algebra.Com's Answer #276427 by josmiceli(19441) $\"\"$ $\"About$

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For Sally:
\n" ); document.write( " $\"d%5Bs%5D+=+r%5Bs%5D%2At\"$
\n" ); document.write( "For Rocky:
\n" ); document.write( " $\"d%5Br%5D+=+r%5Br%5D%2At\"$
\n" ); document.write( "Note that they start and finish together,
\n" ); document.write( "so $\"t\"$ is the same in both equations
\n" ); document.write( "------------------
\n" ); document.write( "given:
\n" ); document.write( " $\"r%5Bs%5D+=+110\"$ km/hr
\n" ); document.write( " $\"r%5Br%5D+=+90\"$ km/hr
\n" ); document.write( " $\"d%5Br%5D+%2B+d%5Bs%5D+=+350\"$ km
\n" ); document.write( "------------------
\n" ); document.write( " $\"d%5Bs%5D+=+110t\"$
\n" ); document.write( " $\"d%5Br%5D+=+90t\"$
\n" ); document.write( " $\"90t+%2B+110t+=+350\"$ km
\n" ); document.write( " $\"200t+=+350\"$
\n" ); document.write( " $\"t+=+1.75\"$ hrs
\n" ); document.write( "check:
\n" ); document.write( " $\"d%5Bs%5D+=+110%2A1.75\"$
\n" ); document.write( " $\"d%5Bs%5D+=+192.5\"$ km
\n" ); document.write( "and
\n" ); document.write( " $\"d%5Br%5D+=+90%2A1.75\"$
\n" ); document.write( " $\"d%5Br%5D+=+157.5\"$
\n" ); document.write( " $\"192.5+%2B+157.5+=+350\"$
\n" ); document.write( " $\"350+=+350\"$
\n" ); document.write( "OK \n" ); document.write( "

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