Two Hockey Pucks Are Initially at Rest on a Horizontal $A$

Multiple Choice

Two hockey pucks are initially at rest on a horizontal plane of frictionless ice. Puck $A$ has twice the mass of puck $B$ . Suppose we exert a constant force on puck $A$ until it has travelled $2 \mathrm{~m}$ from its starting position. We exert a force of the same magnitude on puck $B$ until it has travelled $1 \mathrm{~m}$ from its starting position. How do the pucks' kinetic energies compare when we stop pushing them?

A) $K_{A}=4 K_{B}$
B) $K_{A}=2 K_{B}$
C) $K_{A}=K_{B}$
D) $K_{B}=2 K_{A}$
E) $K_{B}=4 K_{A}$
F) Some other relationship (specify)