Physics- Kinematics (Grade 11 Level)

The Question I have for a Physics problem is:

A freight train is rolling down the track at 65.0km/hr. Out of the Fog, One Kilometer behind, a fast express going 120km/hr, appears on the same track. The express engineer slams on the brakes. With the brakes set, he needs 3.00km to stop, Will the express rear-end the freight train or will the express train be able to AVOID a crash?

So here is what I have done so far:

Variable List:

V1= 65km/hr / 3.6 = 18.1m/s

V2= 120km/hr / 3.6 = 33.3m/s

a= ?

d= 3km x 1000 = 3000m

t= ?

So I decided to try and find acceleration.

D = V2^2 - V1^2 / 2A

So I rearranged for Acceleration:

(2A) D = V2^2 - V1^2 / 2A (2A)

2AD = V2^2 - V1^2

2AD / 2D = V2^2 - V1^2 / 2D

A = V2^2 - V1^2 / 2D

Now to Plug the numbers in:

A = 33.3^2 - 18.1^2 / 2(3000)

A = 1108.89 - 327.61 / 6000

A= 781.28 / 6000

A= 0.13m/s^2

Am I on the right track?