Based on

Movies like Alpine Antics (1936)

Prologue: various animals enjoy winter sports. Beans sees a notice of a ski race, and decides to enter. But so does a bad guy (who looks more than a little like Disney's Pete). The bad guy sabotages the other contestants in various ways, takes short cuts, etc. But Beans manages to tie up the bad guy in his own trip line. A duck riding a dachshund knocks the bad guy out for a while; he and Beans trade places a few more times before Beans wins the race, just barely.