Find the value of $\frac{(PS+QR)}{VT}$ if VT || PS and PS || QR and V and T are the midpoints.

In ΔPSQ, VU || PS and V is the midpoint of PQ, 

Then, by the mid-point theorem,
U is the midpoint of QS
and VU = $\frac{1}{2}$PS  —————— (1)
Also, in ΔQRS, T and U are the midpoints of SR and SQ and UT || QR, 

Then, by the mid-point theorem,
UT = $\frac{1}{2}$ QR  —————— (2)
On adding equations (1) and (2),

VU + UT = $\frac{1}{2}$ PS + $\frac{1}{2}$ QR
⇒ VT = $\frac{1}{2}$(PS + QR)

 ⇒$\frac{(PS+QR)}{VT}$= 2