SOLUTION: 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

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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?
Answer by ikleyn(52807) About Me  (Show Source):
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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?
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Let "n" be the number of steps Sol makes in 1 minute, and let "s" be the length of his step (in meters).


Then Sol's rate (speed) is n*b meters per minute.


Regarding Bert, he makes 1.2*n steps per minute, but each his step has the length 0.8s, 

          so his rate (speed) is 0.8n*1.2s =  0.96ns meters per second.


Now you see that Bert moves slower than Sol, and the answer is clear to you.


Answer.  Who will get to the school faster? - Sol will.

For similar solved problems, see the lesson More complicated percentage problems in this site.