The position-time (x-t) graphs for two children `A` and `B` returning from their school `O` to their homes `P` and `Q`, respectively, are shown in . Choose the
.
a.` (A//B)` Iives closer to school than `(B//A)`.
b. `(A//B)` starts from the school earlier than `(B//A)`.
c. `(A//B)` walks faster than `(B//A)`.
d. `A` and `B` reach home at the (same//differnt) time.
e. (A//B) overtakes on the road (once//twice).

Options

A. A live closer to the school than B.
B. A starts from the school earlier than B.
C. A walks faster than B.
D. A and B reach home at the same time.

Answer

C

Explanation

(a) As OP lt OQ, A lives closer to the school than B. Hence, option (a) is correct.
(b) For x = 0, t = 0 for A, while t has some finite value for B. Therefore,
A starts from the school earlier than B. Hence, option (b) is correct.
Slope of x-t graph is equal to the speed. Since the slope of x-t graph for B is greater than that for A. Therefore, B walks faster than A. Hence, option (c ) is incorrect.
(d) Corresponding to points P and Q the value of t fromm x-t graphs for A and B is same. Thus, both A and B reach home at the same time. Hence, option (d) is correct.