Solving an Algebra Word ProblemDate: 10/11/95 at 17:41:19 From: Anonymous Subject: Word Problems Two members of the track team spent 18 hours in total training one week. Amy spent 2 hours 20 minutes more than Becky. How long did each spend? Date: 10/11/95 at 23:5:39 From: Doctor Andrew Subject: Re: Word Problems You could do this one by writing down two equations, but it can also be done more intuitively. Suppose Amy and Becky spend the same amount of time training. The time (18 hours), which can be drawn on a line like this: |-------------18h-------------| would be divided up evenly like this: |-----Amy------|----Becky-----| But they aren't spending the same amount of time. So how far, and in which direction, would you move the line seperating Amy and Becky in the above diagram to get a 2h 20 min difference between the times? In other words you want a diagram like this: 2h 20m |-------| |----Amy------------|--Becky---| ^ center If you want to do this problem with algebra, notice that a - b = 2 1/3 and that a + b = ? where a is Amy's time, and b is Becky's time. I hope this helps you out. Good luck! -Doctor Andrew, The Geometry Forum |
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