Two cars with constant acceleration meeting

[DylanPHY]

Homework Statement

Two cars travel towards one another on a 21.0m road, the car traveling to the left has an acceleration a_L=2.4m/s^2 the other car an a_R=1.8m/s^2. What is the distance traveled by the left car up to the meeting point?

Homework Equations

Left Car Right Car
O------------------|--------------------------------O
------->1.8m/s^2 2.4m/s^2<-------

The Attempt at a Solution

0.9t^2=21-1.2t^2
2.1t^2=21
t^2=10
t=sqrt(10)
0.9(10)=9m
So the left car should have traveled 9 meters and the right 12m, but it's not right and I don't see why.

 

[gneill]

Looks like you've calculated the distance for the car moving right rather than the car moving left.