SOLUTION: Richard drove his rig at ‘x’ mph for 3 hours, then increased his speed to (x + 15) mph and drove 2 more hours. Write a polynomial that represents the total distance that he travele

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Richard drove his rig at ‘x’ mph for 3 hours, then increased his speed to (x + 15) mph and drove 2 more hours. Write a polynomial that represents the total distance that he travele      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 212106: Richard drove his rig at ‘x’ mph for 3 hours, then increased his speed to (x + 15) mph and drove 2 more hours. Write a polynomial that represents the total distance that he traveled. How much distance he covered if x = 45 Mph?
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Richard drove his rig at ‘x’ mph for 3 hours, then increased his speed to (x + 15) mph and drove 2 more hours. Write a polynomial that represents the total distance that he traveled. How much distance he covered if x = 45 Mph?

Step 1. Distance=Velocity * Time

Total Distance in miles = 3x%2B2%28x%2B15%29+=+3x%2B2x%2B30+=+5x+%2B+30+

where

3x is the distance in miles traveling for 3 hours at x mph
2%28x%2B15%29=2x%2B30 is the distance in miles traveling for 2 hours at x+15 mph

Step 2. Substitute x=45 Mph into Total Distance equation of Step 1

+5x%2B30+=+5+%2845%29%2B30+=+255+

Step 3. Total Distance traveled is 255 miles.

For Step-By-Step Videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra.