strange!?

two watches both dial and hand faces not digital.
Watch 1 has imitation leather strap. Watch 2 has metal strap segmented like expandable but not, and has folding hinge type clasp.
Watch 1 works fine wearing or shelved. Watch 2 merrily ticks away shelved but couple hrs wearing it either stops or looses time..Why ? both fitted with new batteries?
Thanks in anticipation