document.write( "Question 797543: Ryan left the science museum and drove
\n" ); document.write( "south. Gabriella left three hours later
\n" ); document.write( "driving 42 km/h faster in an effort to catch
\n" ); document.write( "up to him. After two hours Gabriella finally
\n" ); document.write( "caught up. Find Ryan's average speed. Please show step by step
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Algebra.Com's Answer #481854 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+s+\" = Ryan's average speed in km/hr
\n" ); document.write( "\"+s%2A3+\" = Ryan's head start in km
\n" ); document.write( "\"+s+%2B+42+\" = Gabriella's average speed in km/hr
\n" ); document.write( "Let \"+d+\" = the distance in km Gabriella travels in 2 hrs
\n" ); document.write( "----------------
\n" ); document.write( "Start a stop watch when Gabriella leaves and stop it in 2 hrs
\n" ); document.write( "Ryan's equation:
\n" ); document.write( "(1) \"+d+-+s%2A3+=+s%2A2+\"
\n" ); document.write( "Gabriella's equation:
\n" ); document.write( "(2) \"+d+=+%28+s+%2B+42+%29%2A2+\"
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\n" ); document.write( "substitute (2) into (1)
\n" ); document.write( "(1) \"+%28+s+%2B+42+%29%2A2+-+3s+=+s%2A2+\"
\n" ); document.write( "(1) \"+2s+%2B+84+-+3s+=+2s+\"
\n" ); document.write( "(1) \"+-s+%2B+84+=+2s+\"
\n" ); document.write( "(1) \"+3s+=+84+\"
\n" ); document.write( "(1) \"+s+=+28+\"
\n" ); document.write( "Ryan's average speed is 28 km/hr
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+d+-+3s+=+s%2A2+\"
\n" ); document.write( "(1) \"+d+-+3%2A28+=+28%2A2+\"
\n" ); document.write( "(1) \"+d+-+84+=+56+\"
\n" ); document.write( "(1) \"+d+=+140+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+d+=+%28+s+%2B+42+%29%2A2+\"
\n" ); document.write( "(2) \"+d+=+%28+28+%2B+42+%29%2A2+\"
\n" ); document.write( "(2) \"+d+=+70%2A2+\"
\n" ); document.write( "(2) \"+d+=+140+\"
\n" ); document.write( "OK\r
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