But it looks like he has hidden the card she will have obviously given him. @HappyLimeHiker also hasn't mentioned what present the WW (work wife) gave him, so that has probably been hidden until he can say that he bought it for himself.
Why am I so certain that she got him a seperate card, and at least a little present? Because if I was car sharing with anyone every working day, I would want to give them a card from me, and at least a box of chocolates, or a bottle of wine or something, and that would stand whichever sex they are.
Also losing 45 to 60 minutes, presumably 5 days a week, every other week - which my maths tells me is at least 7hrs and 30 minutes every other week, on top of whatever time it would normally take the OP's husband to commute to and from work every day if he wasn't picking the WW up! That is totally unacceptable. On the weeks when the WW is driving the car share, the OP's husband isn't ever gaining the 7.5 hours, he is just at the point he would have been if he had never car shared in the first place.
Then assuming that her husband has 6 weeks off work every year, that would mean that he loses 172 hours and 30 minutes every year, which to my reckoning equals just over 7 days a year, so I whole extra week per year, just spent with his WW! For once, I really hope that I have screwed up my maths somewhere, as that would be a ridiculous amount to be losing every year?