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Question

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 as shown in the figure. Choose the incorrect statement regarding these graphs.
936275_7b6c3fc028604a8184822adcdb9068aa.png

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

The correct option is D A walks faster than B

In this graph position and time are the parameters.

Option A is correct statement, as the slope of A is lower than B.

Option B is also a correct statement, because the speed of A is less than B, so A must have started before B.

Option C is an incorrect statement as A is slower than B.

Option D is a correct statement as both graphs are ending at the same time.

Thus the correct answer is C.


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