document.write( "Question 1208219: Runner A is initially 5.6 km west of a flagpole
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document.write( "and is running with a constant velocity of
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document.write( "8.4 km/h due east. Runner B is initially 4.9
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document.write( "km east of the flagpole and is running with a
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document.write( "constant velocity of 7.5 km/h due west.
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document.write( "How far are the runners from the flagpole
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document.write( "when their paths cross? \n" );
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Algebra.Com's Answer #846506 by greenestamps(13198)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "The two runners are initially 5.6+4.9 = 10.5km apart; they are running towards each other at a rate of 8.4+7.5 = 15.9km/h. The time it will take the two to meet is the time it will take the two of them to cover the full 10.5km. \n" ); document.write( "distance = rate * time \n" ); document.write( "time = distance / rate = 10.5/15.9 = 105/159 = 35/53 hours \n" ); document.write( "After 35/53 hours, the position of runner A will be 8.4(35/53) km east of his starting point 5.6km west of the flagpole. Use a calculator to find his position is (to several decimal places) .05283km west of the flagpole. \n" ); document.write( "After 35/53 hours, the position of runner B will be 7.5(35/53) km west of his starting point 4.9 km east of the flagpole. Use a calculator to find his position is (to several decimal places) .05283km west of the flagpole. \n" ); document.write( "ANSWER (to several decimal places): .05283 km \n" ); document.write( "Nice problem for learning if the numbers were \"nice\"; as it is, the problem is mostly a waste of time. \n" ); document.write( " \n" ); document.write( " |