SOLUTION: Driving marathon. Felix drove 800 miles in x hours on Monday. a) Write a rational expression for his average speed. b) On Tuesday he drove for 6 hours at the same average spe

Algebra ->  Expressions-with-variables -> SOLUTION: Driving marathon. Felix drove 800 miles in x hours on Monday. a) Write a rational expression for his average speed. b) On Tuesday he drove for 6 hours at the same average spe      Log On


   

Question 180841: Driving marathon. Felix drove 800 miles in x hours on Monday.
a) Write a rational expression for his average speed.
b) On Tuesday he drove for 6 hours at the same average speed. Write a rational expression for his distance on Tuesday.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
a)

d=rt Start with the distance rate time formula


800=rx Plug in d=800 and t=x


800%2Fx=r Divide both sides by x.


r=800%2Fx Rearrange the terms.


So the rational expression for his average speed is 800%2Fx


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b)

d=rt Start with the distance rate time formula


d=%28800%2Fx%296 Plug in r=800%2Fx (since he traveled the same average speed) and t=6


d=4800%2Fx Multiply



So the rational expression for his distance is 4800%2Fx