The position-time graphs for two students $A$ and $B$ returning from the school to their homes are shown in the figure.
$(A)$ $A$ lives closer to the school.
$(B)$ $B$ lives closer to the school.
$(C)$ $A$ takes less time to reach home.
$(D)$ $A$ travels faster than $B$.
$(E)$ $B$ travels faster than $A$.
Choose the correct answer from the options given below:

  • A
    $(A)$ and $(E)$ only
  • B
    $(B)$ and $(E)$ only
  • C
    $(A), (C)$ and $(E)$ only
  • D
    $(A), (C)$ and $(D)$ only

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