T was seated second from the right end of the row. S was seated at the leftmost end.
Three people were seated between W and U where W was to the left of U.
Case 1:

Case 2:

Case 3:

R was seated to the immediate right of Q and second to the left of V. So case 2 is invalid.
Case 1:

Case 3:

Now, the number of people to the left of P was two more than the number of people to the right of X.
P is not neighboring T.
So case 3 is invalid and finally we have:

All pairs have two people seated between them except Q,W.