SOLUTION: 5. Atlanta and Cincinnati are 440 mi apart. John leaves Cincinnati , driving toward Atlanta at an average speed of 60 mph. Pat leaves Atlanta at the same time, driving toward Cinci

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 5. Atlanta and Cincinnati are 440 mi apart. John leaves Cincinnati , driving toward Atlanta at an average speed of 60 mph. Pat leaves Atlanta at the same time, driving toward Cinci      Log On


   

Question 377570: 5. Atlanta and Cincinnati are 440 mi apart. John leaves Cincinnati , driving toward Atlanta at an average speed of 60 mph. Pat leaves Atlanta at the same time, driving toward Cincinnati in her antique auto , averaging 28 mph. How long will it take them to meet?
I am SO bad at these problems, i've been trying all morning! Please help!! :(
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

D = r*t  Or D/r= t  

Note: John and Pat will be driving the same amount of time

Let x represent the distance Jon travels, then (440mi-x) will be Pat's distance. 

x%2F60+=+%28440-x%29%2F28

Cross mulitply to solve for x

28x = 60(440-x)

28x = 60*440 - 60x

88x = 60*440

x = 60*440/88

x = 300mi, distance Jon travels

300mi/60mph = 5hrs, the time it took them to meet



CHECKING OUR ANSWER

60MPH*5HR + 28MPH*5HR = 300MI + 140MI = 440MI