document.write( "Question 1205336: problem 1:\r
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\n" ); document.write( "\n" ); document.write( "A cyclist, riding steadily from his hometown, reached his destination in 4.5 h. He would have taken 45 min less time if he had ridden his bicycle at a speed faster by 3 km/h. Find the distance from his hometown to his destination. \r
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\n" ); document.write( "\n" ); document.write( "At 9:30 am, car A started its journey and travelled at 65 km/h. At 11:00 am, car B started its journey from the same place and travelled on the same road as car A. If car B , travelling at a constant speed, took five hours to catch up with car A, find the speed of car B.
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Algebra.Com's Answer #842072 by Edwin McCravy(20054)\"\" \"About 
You can put this solution on YOUR website!
At 9:30 am, car A started its journey and travelled at 65 km/h. At 11:00 am, car
\n" ); document.write( "B started its journey from the same place and travelled on the same road as car
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\n" ); document.write( "car A, find the speed of car B.
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document.write( "Let r = the speed of car B\r\n" );
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document.write( "At 11 AM, car A had already been traveling 1.5 hours at 65 km/h, and therefore\r\n" );
document.write( "was (1.5)(65) = 97.5 kilometers down the road.\r\n" );
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document.write( "The catch-up rate is the difference of their speeds, r-65 km/h\r\n" );
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document.write( "To reduce the 97.5 km to 0 in a 5 hour time period, we use \r\n" );
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document.write( "(rate)(time)=distance\r\n" );
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document.write( "(r-65)(5) = 97.5\r\n" );
document.write( " 5r - 325 = 97.5\r\n" );
document.write( "       5r = 422.5\r\n" );
document.write( "        r = 84.5 km/h\r\n" );
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document.write( "Edwin
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