document.write( "Question 160640: Jones can run around a 400-meter track in 65 seconds. How long does Smith take to run the 400 meters if he meets Jones in 35 seconds after they start together in a race around the track in opposite directions?
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document.write( "Not sure how to set up the equation for this problem. \n" );
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Algebra.Com's Answer #118460 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Jones can run around a 400-meter track in 65 seconds. How long does Smith take \n" ); document.write( " to run the 400 meters if he meets Jones in 35 seconds after they start together \n" ); document.write( " in a race around the track in opposite directions? \n" ); document.write( ": \n" ); document.write( "When they meet, they will have traveled a total of 400 meters in 35 seconds \n" ); document.write( ": \n" ); document.write( "Find Jone's speed in meters/sec: \n" ); document.write( ": \n" ); document.write( "Let s = Smith's speed in m/sec \n" ); document.write( ": \n" ); document.write( "Write a dist equation; Dist = time * speed \n" ); document.write( ": \n" ); document.write( "35s + 35(6.154) = 400 \n" ); document.write( ": \n" ); document.write( "35s + 215.39 = 400 \n" ); document.write( ": \n" ); document.write( "35s = 400 - 215.39 \n" ); document.write( ": \n" ); document.write( "35s = 184.61 \n" ); document.write( "s = \n" ); document.write( "s = 5.275 m/sec is Smith's speed \n" ); document.write( ": \n" ); document.write( "Find time for Smith to run 400 m: \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution: \n" ); document.write( "35 * 5.275 = 184.625 m \n" ); document.write( "35 * 6.154 = 215.39 \n" ); document.write( "------------------ \n" ); document.write( "Total dist = 400.0 \n" ); document.write( " |