Two bodies from a state of rest move rectilinearly towards each other with accelerations whose moduli

Two bodies from a state of rest move rectilinearly towards each other with accelerations whose moduli are the same and equal to 2 m / s ^ 2. determine the modulus of the relative velocity of motion of bodies at the moment of their meeting if the initial distance between the bodies is 200 m

The solution to this problem:
S1 = a * t ^ 2/2
S2 = S0-a * t ^ 2/2
S1 = S2
S0 = a * t ^ 2
t = sqrt (S0 / a) from this it follows (200/2) = 10 s
V1 = V2 = a * t = 2 * 10 = 20 m / s
V = 2 * V1 = 2 * 20 = 40 m / s
Answer: 40 m / s