document.write( "Question 222985: Enrique runs an average speed of 6 mph. Half an hour later, Enrique's brother leaves the house running at an average speed of 8 mph. How long will it tak Enrique's brother to run half the distance that Enrique has run? \n" ); document.write( "
Algebra.Com's Answer #167035 by ankor@dixie-net.com(22740)\"\" \"About 
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Enrique runs an average speed of 6 mph.
\n" ); document.write( "Half an hour later, Enrique's brother leaves the house running at an average speed of 8 mph.
\n" ); document.write( " How long will it take Enrique's brother to run half the distance that Enrique has run?
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\n" ); document.write( "Let t = running time of E's bro to run half the distance
\n" ); document.write( "then
\n" ); document.write( "(t+.5) = E's time to run the whole distance
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\n" ); document.write( "Write a distance equation: Dist = speed * time
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\n" ); document.write( "E's dist = twice E's bro dist
\n" ); document.write( "6(t+.5) = 2(8t)
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\n" ); document.write( "6t + 3 = 16t
\n" ); document.write( ":
\n" ); document.write( "3 = 16t - 6t
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\n" ); document.write( "3 = 10t
\n" ); document.write( "t = \"3%2F10\"
\n" ); document.write( "t = 3/10 hrs (18 min) for E's bro to run half the distance
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\n" ); document.write( "Check solution by finding the running dist of each
\n" ); document.write( "8*.3 = 2.4 mi
\n" ); document.write( ":
\n" ); document.write( "6*(.3+.5) = 4.8 mi \n" ); document.write( "
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