document.write( "Question 1191071: Pauline and Pete agree to meet in Columbia. Pauline travels 120 miles, while Pete travels 80 miles. If Pauline's speed is 20 miles per hour greater than Pete's and they both spend the same amount of time traveling, at what speed does each travel? \n" ); document.write( "

Algebra.Com's Answer #822825 by ikleyn(52879) $\"\"$ $\"About$

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\n" ); document.write( "Pauline and Pete agree to meet in Columbia. Pauline travels 120 miles, while Pete travels 80 miles.
\n" ); document.write( "If Pauline's speed is 20 miles per hour greater than Pete's and they both spend
\n" ); document.write( "the same amount of time traveling, at what speed does each travel?
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\n" ); document.write( "\n" ); document.write( " This problem can be solved MENTALLY, without using equation,\r
\n" ); document.write( "\n" ); document.write( " by applying reasoning and common sense.\r
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document.write( "Since they spent the same amount of time traveling, the ratio of their rates is the same \r\n" );
document.write( "to the ratio of the distances.\r\n" );
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document.write( "So, the ratio of their rates is   =  = .\r\n" );
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document.write( "Thus we can write  Pauline's rate = 3x;  Pete's rate = 2x, where x is the common measure of their rates.\r\n" );
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document.write( "Next, from the problem  3x - 2x = 20 mph,  which jives  x = 20 mph.\r\n" );
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document.write( "ANSWER.  Pauline's rate is 3*20 = 60 mph;  Pete's rate is 2*20 = 40 mph.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved // mentally.\r
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