document.write( "Question 985285: Athlete Amazing Al strolled, walked, jogged and sprinted around four equal sides of a city block. His speeds on each side were 4 km/h, 5 km/h, 10 km/h and 20 km/h.\r
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document.write( "What was Amazing Al's average speed for the whole city block? \n" );
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Algebra.Com's Answer #606109 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! Assume the block is 4 km on a side. \n" ); document.write( "It took 60 minutes to do the first leg, 48 minutes to do the second, 24 minutes to do the third, and 12 minutes to do the fourth. \n" ); document.write( "That is 144 minutes to do 16 km=6 2/3 km/h \n" ); document.write( "; \n" ); document.write( "With speed problems, be very careful not to average the four speeds, which here would give 9.75 km/h. That is because more time is spent at slower speeds than at faster speeds, and velocity is an inverse function of time for the same distance. V=D/T\r \n" ); document.write( "\n" ); document.write( "For x km on a side it is (x/4)+(x/5)+(x/10)+(x/20) units are hr {km/(km/hr)=hr] \n" ); document.write( "That is (12x/20)=0.6 x \n" ); document.write( "So 1 km on a side takes 36 minutes total, and the average speed is 4/0.6=6 2/3 km/h \n" ); document.write( " |