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The position-time graphs for two students A and B returning from the school to their homes are shown is figure.
(A) A lives closer to the school
(B) B lives closer to the school
(C) A takes lesser 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:

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(A), (C) and (E) only

(B) and (E) only

(A) and (E) only

(A), (C) and (D) only

answer is A.

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Detailed Solution

$Slope of x - t is velocity. ∴ Velocity of B is grater then that of A . ∴ (E) is correct since x_{B} > x_{A} at a given time, the house of B is farther. ∴ (A) is correct.$

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