$A$ bomb moving with velocity $(40 \hat{i} + 50 \hat{j} - 25 \hat{k}) \text{ m/s}$ explodes into two pieces of mass ratio $1:4$. After the explosion,the smaller piece moves away with velocity $(200 \hat{i} + 70 \hat{j} + 15 \hat{k}) \text{ m/s}$. The velocity of the larger piece after the explosion is:

• A
  $45 \hat{j} - 35 \hat{k}$
• B
  $45 \hat{i} - 35 \hat{j}$
• C
  $45 \hat{k} - 35 \hat{j}$
• D
  $-35 \hat{i} + 45 \hat{k}$