Question

'PQRS' is a rectangular park. A rhombus 'cdef' is inscribed in it by joining the midpoints of sides PQ, QR, RS, and SP. Person 1 walks along the path $P\to Q\to R\to S\to P$ and another person 2 walks along path $c\to d\to e\to f\to c$.
If person 2 wants to catch person 1 at point 'e', then what path should person 2 follow and what will be the length of it?
It is given that PQ = 20 m and QR = 10 m.

• A. 4 years
• B. 2 years
• C. 3 years
• D. 2.5 years

Answer 1

The correct option is C

3 years

In order to catch person 1, person 2 should follow the path:
$c\to e\to$ which is the displacement.
From the above figure, we can say that :
ce = PQ
Therefore, ce = PQ = 20 m, which is the length of the rectangular park PQRS.