SOLUTION: Sharah left Atlanta for vacation traveling at 51 mph. Brady left after Sarah and travelled at 60 mph trying to catch up.If it took Brady 4 hours to catch up with Sarah,how long was

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Sharah left Atlanta for vacation traveling at 51 mph. Brady left after Sarah and travelled at 60 mph trying to catch up.If it took Brady 4 hours to catch up with Sarah,how long was      Log On


   



Question 793395: Sharah left Atlanta for vacation traveling at 51 mph. Brady left after Sarah and travelled at 60 mph trying to catch up.If it took Brady 4 hours to catch up with Sarah,how long was Sarah driving before Brady started?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Sarah left Atlanta for vacation traveling at 51 mph.
Brady left after Sarah and traveled at 60 mph trying to catch up.
If it took Brady 4 hours to catch up with Sarah, how long was Sarah driving before Brady started?
:
Let t = Sarah's driving time when B caught her
We know Brady drove for 4 hrs
:
When B catches S, they will have traveled the same distance
Write a distance equation; dist = speed * time
:
51t = 60 * 4
51t = 240
t = 240/51
t = 4.7 hrs
therefore
4.7 - 4 = .7 hrs before B started (that's about 42 minutes)