Two parallel rail tracks run north-south. Train $A$ moves north with a speed of $54 \; km \; h^{-1},$ and train $B$ moves south with a speed of $90 \; km \; h^{-1}.$ What is the velocity of $B$ with respect to $A$?

  • A
    The train $B$ appears to $A$ to move with a speed of $10 \; m \; s^{-1}$ from north to south.
  • B
    The train $B$ appears to $A$ to move with a speed of $40 \; m \; s^{-1}$ from south to north.
  • C
    The train $B$ appears to $A$ to move with a speed of $10 \; m \; s^{-1}$ from south to north.
  • D
    The train $B$ appears to $A$ to move with a speed of $40 \; m \; s^{-1}$ from north to south.

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