document.write( "Question 166929This question is from textbook
\n" ); document.write( ": Please help me with this word problem (it is #16 on page 171: Jamie ran two laps around a track in 99 seconds. How long did it take him to run each lap if he ran the first lap at 8.5 m/s and the second at 8.0 m/s? \r
\n" ); document.write( "\n" ); document.write( "When I solved it I got 51 seconds for the first lap and 48 seconds for the second, which of course is incorrect because he ran faster on the first lap. I'm not sure what I did wrong.\r
\n" ); document.write( "\n" ); document.write( "Thanks for your help. I really appreciate it.
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Algebra.Com's Answer #122965 by oscargut(2103)\"\" \"About 
You can put this solution on YOUR website!
Let x = time of the first lap
\n" ); document.write( "Let y = time of the second lap\r
\n" ); document.write( "\n" ); document.write( "Total time is 99 then x+y=99\r
\n" ); document.write( "\n" ); document.write( " he ran the first lap at 8.5 m/s and the second at 8.0 m/s? \r
\n" ); document.write( "\n" ); document.write( "distance of the first lap = distance of the second lap\r
\n" ); document.write( "\n" ); document.write( "then 8.5x=8y\r
\n" ); document.write( "\n" ); document.write( "so system is\r
\n" ); document.write( "\n" ); document.write( "\"x%2By=99\"
\n" ); document.write( "\"8.5x=8y\"\r
\n" ); document.write( "\n" ); document.write( "\"y=99-x\"
\n" ); document.write( "then\r
\n" ); document.write( "\n" ); document.write( "\"8.5x+=+8%2899-x%29\"\r
\n" ); document.write( "\n" ); document.write( "\"8.5x=792-8x\"\r
\n" ); document.write( "\n" ); document.write( "\"16.5x=792\"\r
\n" ); document.write( "\n" ); document.write( "\"x=792%2F16.5=48\" and \"y=51\"\r
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