document.write( "Question 962956: The great runner could travel 10 miles at 5 mph and then run 6 miles at 2 mph. What should be her speed for the next 8 miles so that her overall average speed would be 4 mph. Thank you in advance! \n" ); document.write( "
Algebra.Com's Answer #588339 by lwsshak3(11628)\"\" \"About 
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The great runner could travel 10 miles at 5 mph and then run 6 miles at 2 mph. What should be her speed for the next 8 miles so that her overall average speed would be 4 mph.
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\n" ); document.write( "let x=travel time for next 8 miles
\n" ); document.write( "average speed=total distance/total travel time
\n" ); document.write( "total distance=10+6+8=24
\n" ); document.write( "total travel time=10/5+6/2+x=5+x
\n" ); document.write( "24/(5+x)=4
\n" ); document.write( "20+4x=24
\n" ); document.write( "4x=4
\n" ); document.write( "x=1 hr
\n" ); document.write( "her speed for the next 8 miles=8/1=8 mph
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