document.write( "Question 258220: A car takes 2 hours to travel between two cities. If the average speed decreases 20km/hr it will take 30 minutes more. What is the distance between the two cities.\r
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document.write( "Appreciate your help.\r
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document.write( "With thanks\r
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document.write( "Ingrid \n" );
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Algebra.Com's Answer #190074 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A car takes 2 hours to travel between two cities. If the average speed decreases 20km/hr it will take 30 minutes more. What is the distance between the two cities. \n" ); document.write( "-------------------------------------- \n" ); document.write( "Original DATA: \n" ); document.write( "time = 2 hrs. ; distance = x km ; rate = d/t = x/2 kph \n" ); document.write( "--------------------------------------------------------------- \n" ); document.write( "New DATA: \n" ); document.write( "time = 2.5 hrs ; distance = x km ; rate = d/t == x/2.5 kph \n" ); document.write( "--------------------------------------------------------------- \n" ); document.write( "Equations: \n" ); document.write( "original speed - new speed = 20 kph \n" ); document.write( "(x/2) - (x/2.5) = 20 \n" ); document.write( "(2.5x - 2x)/(2*2.5) = 20 \n" ); document.write( "0.5x = 100 \n" ); document.write( "x = 200 km (distance between the two cities. \n" ); document.write( "=============================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |