Particle $A$ Has Mass $m$ And Speed $|\vec{v}|$ Particle $B$ Has Mass $\frac{1}{3} m$

Multiple Choice

Particle $A$ has mass $m$ and speed $|\vec{v}|$ . Particle $B$ has mass $\frac{1}{3} m$ and speed $3|\vec{v}|$ . How do the magnitudes of their relativistic momenta compare?

A) $\left|\overrightarrow{p_{A}}\right|>\left|\overrightarrow{p_{B}}\right|$
B) $\left|\overrightarrow{p_{A}}\right|<\left|\overrightarrow{p_{B}}\right|$
C) $\left|\overrightarrow{p_{A}}\right|=\left|\overrightarrow{p_{B}}\right|$