SOLUTION: The total time for a two-member team in a 5130-meter relay race is 16 minutes. The first runner on the team averages 300 meters per minute and the second runner averages 360 meters

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The total time for a two-member team in a 5130-meter relay race is 16 minutes. The first runner on the team averages 300 meters per minute and the second runner averages 360 meters      Log On


   

Question 129517: The total time for a two-member team in a 5130-meter relay race is 16 minutes. The first runner on the team averages 300 meters per minute and the second runner averages 360 meters per minute. How many minutes did the first runnuer keep the baton before passing it to the second runner? Use the following verbal model to help answer the question.
TIME FO 1ST RUNNER + TIME FOR 2ND RUNNER = TOTAL TIME
DISTANCE FOR 1ST RUNNER + DISTANCE FOR 2ND RUNNER= TOTAL DISTANCE
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let x="time for 1st runner", so 16-x="time for 2nd runner"

rate times time equals distance

x(300)+(16-x)(360)=5130 __ 300x+5760-360x=5130 __ -60x=-630