SOLUTION: Randy made a business trip of 234.5 miles. He averaged 56mph for the first part of the trip and 49mph for the second part. If the trip took 4.5 hours, how long did he travel at e

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Randy made a business trip of 234.5 miles. He averaged 56mph for the first part of the trip and 49mph for the second part. If the trip took 4.5 hours, how long did he travel at e      Log On


   

Question 1164014: Randy made a business trip of 234.5 miles. He averaged 56mph for the first part of the trip and 49mph for the second part. If the trip took 4.5 hours, how long did he travel at each rate?
Found 2 solutions by solver91311, greenestamps:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


He traveled miles at . Then he traveled miles at . The two parts of the trip took 4.5 hours total, so:



Solve for , then calculate

John

My calculator said it, I believe it, that settles it

Answer by greenestamps(13334) About Me  (Show Source):
You can put this solution on YOUR website!


x = hours at 56mph
4.5-x = hours at 49mph

56x = distance at 56mph
49(4.5-x) = distance at 49mph

The total distance was 234.5 miles:

56x%2B49%284.5-x%29+=+234.5

Solve using basic algebra