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Two men starting at a point on a circular 1-mile race track walk in opposite directions with uniform speeds and meet in 6 minutes, but if they walk in the same direction, it requires one hr for the faster walker to gain a lap. What is the rate of the slower walker?

 Feb 28, 2020
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Since they are going in opposite directions, when they meet they have covered 1 mile using their combined speeds   x+ y   mi/min

 

x+y  mi / min  * 6 min =  1 mile      (x+y) * 6 = 1       or     6x + 6y =1

 

let x = faster    y = slower

 

x mi /min * 60 min  =   y  mi/min  * 60  min   + 1 mi     or       60 x = 60 y  + 1

 

Now you have two equations with two unknowns....solve for x and y

 Feb 28, 2020

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