SOLUTION: Two people started driving toward each other on he same highway at the same time from towns 420 miles apart. one car travels 15 miles per hours faster than the other. What is the a

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Two people started driving toward each other on he same highway at the same time from towns 420 miles apart. one car travels 15 miles per hours faster than the other. What is the a      Log On


   

Question 188625: Two people started driving toward each other on he same highway at the same time from towns 420 miles apart. one car travels 15 miles per hours faster than the other. What is the a rate of each other if they meet in 4 hours



answer: the first travels at 60 mph; the second car travels at 45 mph

need a full break down on how the answer came about
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Driver 1 distance travelled:

Driver 2 distance travelled:

Driver 1 rate:

Driver 2 rate:

Driver 1 time = Driver 2 time = 4 hours.

What we are given:





Driver 1's trip:



Driver 2's trip:



Substitute from what we know:



Solve for :



Now that we have two ways to express the value of , set them equal:



Just solve for , then add 15 to get

John