In the figure below, triangle abc is similar to triangle pqr:

a right triangle abc with right angle at b and base bc is drawn. length of ab is 16, length of bc is 20. a similar right triangle; triangle pqr, which is triangle abc enlarged and reflected across a horizontal line, is drawn near it. the right angle is at q. angle a is congruent to angle p and angle c is congruent to angle r. the length of qr is 80.

what is the length of side pq?