Calculating Minimum Power to Climb a Hill

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majormuss
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Homework Statement


A truck weighing 3.0 *10^4 Newtons was driven up a hill that is 1.6*10^2 meters long to a level area that is 8.0* 10^2 above the starting point. If the trip look 480 seconds, what was the minimum power required?


Homework Equations



P= W/t

The Attempt at a Solution


My answer was 1.5*10^5 W, but that is not part of the answers provided.The word 'minimum' confuses me a bit. Am not sure how that changes m answers.
 
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Please show how you arrived at your answer so we can see where you may have gone wrong. The word minimum is in there because the power could be more if you included friction or air resistance, or if the truck was accelerating. The problem is asking for the power based on the work done against gravity.