"PC" the military fitness test as much as you like but it's no accident that pretty much every major sport on the planet has separate mens and womens circuits and it's not that difficult to work out why
Yup the bitching would be unbearable, and in the baton race coming up behind some pert young lady in a pair of tight shorts crouched over and ready to go I would fumble the handover...
Or is there another reason?