SOLUTION: I'm going to drive 100 miles at a constant speed of x mph. At x mph, I use up gas at a rate of 100+x^2 galloons per hour. How much gas do I use?

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Question 535008: I'm going to drive 100 miles at a constant speed of x mph. At x mph, I use up gas at a rate of 100+x^2 galloons per hour. How much gas do I use?
Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!
Distance(d) equals Rate(r) times Time(t) or d=rt; r=d/t and t=d/r
t=d/r
t=100/x hours-----time required to drive 100 mi at x mph
So amount of gas used =(100+x^2)gal/hr times (100/x) hr
(100+x^2)(100/x)=100(100+x^2)/x gal
Hope this helps---ptaylor