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On Monday at work, David produces w widgets per hour, and works for t hours. Exhausted by this work, on Tuesday, he decides to work for 2 fewer hours, but manages to produce 4 additional widgets per hour. If w=2t, how many more widgets did David produce on Monday than on Tuesday?

 Aug 27, 2019
 #1
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Widgets produced on Monday  =  widgets per hr   * hrs worked  = wt   =  (2t) * t  = 2t^2 

 

Widgets produced on Tuesday  =  (w + 4) *  (t -2)  =  wt + 4t - 2w - 8  = 2t^2  + 4t - 2(2t) - 8  =  2t^2  - 8

 

So  he produces 8 more widgets on Monday than Tuesday

 

 

cool cool cool

 Aug 27, 2019

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