Points P(1, 2) and R(9, 10) are the ends of a walking trail. A rest point Q is placed on the trail so that the ratio PQ : QR is 3 : 1.
(i) Find the coordinates of Q.
(ii) Verify that the lengths PQ, QR and PR satisfy the condition required for all three points to be on the same straight line.
(iii) Determine the total length of the trail PR and the distances of each segment PQ and QR.