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Four person K,L,M and N are initally at ...

Four person K,L,M and N are initally at the corners of a square of side of length d. If every person starts moving, such that K always heads towards L, L heads towards M, M heads directly towards N and N heads towards K, then the four perons will meet after

A

` (d)/(v) ` sec

B

` ( sqrt( 2 d))/( v) ` sec

C

` (d)/( sqrt( 2 v)) ` sec

D

` (d)/( 2 v) ` sec

Text Solution

Verified by Experts

The correct Answer is:
A
Each of them will meet at centre of square
Speed ` = v cos 45^(@) = (v)/( sqrt(2))`
displacement ` = (d)/( sqrt(2))`
time `= ( d // sqrt(2))/( v // sqrt(2)) = ( d)/( v) ` sec
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