$q,$ Two small blocks A and $B$ have masses $m$ and $2m,$ respectively. Both blocks are released from the same location and slide down an incline with negligible friction. Both blocks travel a vertical distance $h$ before smoothly transitioning to a horizontal surface. The coefficients of kinetic friction between the horizontal surface ad blocks A and $B$ are ${}_A$ and ${}_B,$ respectively, where ${}_B=2{}_A.$ Block A travels a distance D before coming to rest on the horizontal surface. What is the distance Block $B$ travels along the horizontal surface before coming to rest?

$($A$)\frac{1}{4}D$

$($B$)\frac{1}{2}D$

$($C$)2$ D

$($D$)4D$