Gas or clothes? A math problem for a hot day

Here's a hypothetical situation (or maybe it was real...) that weighs the cost of having the wrong clothes. You work at an office 12 miles north of your home, a 25-minute drive in normal workday traffic. Today, it's 100 degrees out and your office space is under remodeling (i.e. the office is rather dusty right now); therefore, it is appropriate to show up to work in a t-shirt and shorts. There's an evening meeting taking place at another office location, another 12 miles and 25 minutes north of your office (i.e., twice as far from home). Midday, you find out that the dress code for the evening meeting is "business casual." There is unmistakably no "business" about your currently casual clothes.

There are several possible solutions to this problem, really. But, let's say showing up under-dressed is not a good one, and you aren't lucky enough to be able to borrow clothes from an officemate. We'll instead narrow it down to two main choices: retrieve clothes from home or go shopping? You must decide how to best spend your time and money this afternoon.

Do you drive home, change clothes, and then drive back, passing your office and continuing on to the evening meeting's location?

Do you purchase an outfit from somewhere near the office?

Do you spend on gas or clothes? Let's do some calculations.

At today's gas prices of close to $6/gallon, and your car averaging a decent 30 miles or more per gallon in suburban driving, the extra 24-mile home and back will cost around $5 in gas.

Buying a brand new outfit costs much more than that of course, but one shirt and a pair of pants from a thrift store can be less than $10. With the luck of a few thrift stores within a 3-mile radius of your office, you can spend less than $1 on gas getting to one or even two of them.

In dollars alone, driving home beats buying an outfit. But, we should also calculate time. The round trip from office to home and back to office is going to cost you about an hour. A trip to a nearby store, with a few minutes shopping and another few trying on... Let's say you might successfully purchase an outfit in under 20 minutes.

We're at 50-60 minutes and $5 on gas vs. 20 minutes and $10 on clothes. Are those 30-40 minutes worth more or less than $5 to you?

Let's think about other hidden costs here. Calculating wear and tear on the car is not precise, but we'll guesstimate about $7 for the trip home and back, using a rough average of $0.30 per mile based on various charts. And how about the fact that you simply burn the gas, adding pollution to the air and getting nothing in return except the privilege of wearing clothes you already own.

You can argue that you don't need more clothes, so it is impractical to buy a new outfit, but at least you're getting something for your money! You get to keep the clothes and wear them again -- if you happen to find something you like. It's possible the thrift store will offer only choices you find tolerable to wear for one night, in which case you can donate the clothes back later. You'll be out ten bucks, but you'll have saved at least 30 minutes and won't have degraded the air quality or added anything to a landfill. (Someone may suggest buying a new outfit from a regular store, wearing it with the sales tags intact, and simply returning it the next day to spend $0 on the clothes, but I will remind you -- beyond the fact that you'd be committing a form a fraud -- it is 100 degrees out! That outfit will certainly appear used.)

Can you tell I've reached what I consider the most logical conclusion? Thrift-store clothes win over gas. Do you disagree? Tell me why.

.