<Tri-2024-2126>, hint

1. DF//CA --->DQ/QA=1/2

2. Triagle AFC  with secant EPC, By Menelaus (AE/EF ) x(FC/CQ)x(QP/PA)

<---> 1/1 x3/2 x QP/PA=1.   Hence QP/PA=2/3

3. Triangle ABD with secant GRC. (AG/GB)x(BC/CD)x(DR/RA) <---> 3/1 x2/1 x DR/RA

Hence DR/RA=1/6.

From 1,2,3 PQ/QR=7/5