document.write( "Question 1186764: Cyclist A travelled 60 km. Cyclist B travels 5 km/hr faster than A and travels the same distance in 2 hours less. Find the speed of each. \n" ); document.write( "
Algebra.Com's Answer #817780 by MathTherapy(10551)\"\" \"About 
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Cyclist A travelled 60 km. Cyclist B travels 5 km/hr faster than A and travels the same distance in 2 hours less. Find the speed of each.
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Let cyclist A's speed be S\r\n" );
document.write( "Then cyclist B's speed is: S + 5\r\n" );
document.write( "We then get the following TIME equation: \"matrix%281%2C3%2C+60%2F%28S+%2B+5%29+%2B+2%2C+%22=%22%2C+60%2FS%29\"  \r\n" );
document.write( "\"matrix%281%2C3%2C+30%2F%28S+%2B+5%29+%2B+1%2C+%22=%22%2C+30%2FS%29\" ------ Factoring out GCF, 2, in the numerator\r\n" );
document.write( "30S + S(S + 5) = 30(S + 5) ------ Multiplying by LCD, S(S + 5)\r\n" );
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document.write( "(S - 10)(S + 15) = 0\r\n" );
document.write( "S - 10 = 0       OR        S + 15 = 0_____S = - 15 (ignore)\r\n" );
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