document.write( "Question 1064063: Two students Bert and Sol left the same house at the same time. They both walk to school. Each step of Bert is 20% shorter than each step of Sol, however, the number of steps Bert takes is 20% more then the number of steps Sol takes in the same amount of time. Who will get to the school faster? \n" ); document.write( "

Algebra.Com's Answer #679103 by ikleyn(52810) $\"\"$ $\"About$

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\n" ); document.write( "Two students Bert and Sol left the same house at the same time. They both walk to school.
\n" ); document.write( "Each step of Bert is 20% shorter than each step of Sol, however, the number of steps Bert takes is 20% more then the number of steps
\n" ); document.write( "Sol takes in the same amount of time. Who will get to the school faster?
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document.write( "Let \"n\" be the number of steps Sol makes in 1 minute, and let \"s\" be the length of his step (in meters).\r\n" );
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document.write( "Then Sol's rate (speed) is n*b meters per minute.\r\n" );
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document.write( "Regarding Bert, he makes 1.2*n steps per minute, but each his step has the length 0.8s, \r\n" );
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document.write( "          so his rate (speed) is 0.8n*1.2s =  0.96ns meters per second.\r\n" );
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document.write( "Now you see that Bert moves slower than Sol, and the answer is clear to you.\r\n" );
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document.write( "Answer.  Who will get to the school faster? - Sol will.\r\n" );
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\n" ); document.write( "\n" ); document.write( "For similar solved problems, see the lesson More complicated percentage problems in this site.\r
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