document.write( "Question 348083: Mike can run the mile in 6 minutes, and Dan can run the mile in 9 minutes. If Mike gives Dan a head start of 1 minute, how far from the start will Mike pass Dan? How long does it take? \n" ); document.write( "
Algebra.Com's Answer #248977 by ankor@dixie-net.com(22740)\"\" \"About 
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Mike can run the mile in 6 minutes, and Dan can run the mile in 9 minutes.
\n" ); document.write( " If Mike gives Dan a head start of 1 minute, how far from the start will Mike pass Dan?
\n" ); document.write( " How long does it take?
\n" ); document.write( ":
\n" ); document.write( "Find M's speed: \"5280%2F6\" = 880 ft/min
\n" ); document.write( "Find D's speed: \"5280%2F9\" = 586.667 ft/min
\n" ); document.write( ":
\n" ); document.write( "Find the time (t) for M to overtake D
\n" ); document.write( "880t = 586.667(t+1)
\n" ); document.write( "880t = 586.667t + 1)
\n" ); document.write( "880t - 586.667t = 586.667
\n" ); document.write( "293.333t = 586.667
\n" ); document.write( "t = \"586.667%2F293.333\"
\n" ); document.write( "t ~ 2 min
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\n" ); document.write( ":
\n" ); document.write( "Find the distance: 2(880) = 1760 ft
\n" ); document.write( "Check the distance: 3(586.667) = 1760.0 ft
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