Rectangle ABCD has AB=5 and BC=4. Point E lies on AB so that EB=1, point G lies on BC so that CG=1. and point F lies on CD so that DF=2. Segments AG and AC intersect EF at Q and P, respectively. What is the value of EFPQ?
[asy] pair A1=(2,0),A2=(4,4);
pair B1=(0,4),B2=(5,1);
pair C1=(5,0),C2=(0,4);
draw(A1--A2);
draw(B1--B2);
draw(C1--C2);
draw((0,0)--B1--(5,4)--C1--cycle);
dot((20/7,12/7));
dot((3.07692307692,2.15384615384));
label("Q",(3.07692307692,2.15384615384),N);
label("P",(20/7,12/7),W);
label("A",(0,4), NW);
label("B",(5,4), NE);
label("C",(5,0),SE);
label("D",(0,0),SW);
label("F",(2,0),S); label("G",(5,1),E);
label("E",(4,4),N);dot(A1); dot(A2);
dot(B1); dot(B2);
dot(C1); dot(C2);
dot((0,0)); dot((5,4));[/asy]<spanclass=′latex−bold′>(A)</span>1613<spanclass=′latex−bold′>(B)</span>132<spanclass=′latex−bold′>(C)</span>829<spanclass=′latex−bold′>(D)</span>9110<spanclass=′latex−bold′>(E)</span>91