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Taxi Paradox

Agent Smith January 28, 2022 at 10:43 6600 views 25 comments
I was just chatting up with a colleague on nothing in particular. Just as we were winding up she touched upon the topic of taxis. She had to take one to the airport.

The last time I rode a taxi, I had to pay for the distance traveled. Make sense - expenses a taxi incurs is on the whole a fuel affair.

However, I remember an acquaintance of mine complaining about how fast cabbies drive (she was in another country with nonexistent speed laws). The cabby wants to , to be brutally frank, just take you to where you have to be asap and get it over with...as if we're paying for his time. This too makes sense - the faster the taxi completes a trip, the more passengers it can cater to.

The paradox: The passengers pays for distance traveled, the cabby drives as if you paid for his/her time.

Comments (25)

Sir2u January 30, 2022 at 03:55 #649189
Quoting Agent Smith
The paradox: The passengers pays for distance traveled, the cabby drives as if you paid for his/her time.


No paradox at all, just different points of view on what is happening.
Agent Smith January 30, 2022 at 04:30 #649198
Quoting Sir2u
paradox


What's a paradox for you?
Nils Loc January 30, 2022 at 18:06 #649398
If a rider were paying for the taxi driver's time then wouldn't there be an incentive to slow down. Why rush off to your next customer when you can get as much by being less productive.

Therefore it doesn't follow that a cabby who is paid by distance and speeds drives as if paid for his/her time.
Sir2u February 01, 2022 at 01:24 #649999
Quoting Agent Smith
What's a paradox for you?


The same as it is for most people I suppose.
A statement starting with something apparently true that leads to counterintuitive or unacceptable conclusions.

Your statement is just a description of what happens sometimes.
Agent Smith February 01, 2022 at 02:04 #650008
Reply to Sir2u

You pay for distance, but the cabbie charges you for (his/her) time. Something paradoxical about this no? Look up paradox in Google. I'm sure the definition of paradox accommodates the Taxi riddle.
Agent Smith February 01, 2022 at 02:07 #650009
Quoting Nils Loc
If a rider were paying for the taxi driver's time then wouldn't there be an incentive to slow down. Why rush off to your next customer when you can get as much by being less productive.


Good point! The cabbie gets paid for the distance. There's no point in slowing down. However, if he speeds up, he can pack more passengers in a given time and that translates into more money.
Sir2u February 01, 2022 at 02:59 #650026
Quoting Agent Smith
You pay for distance, but the cabbie charges you for (his/her) time.


You pay to be taken somewhere. Taxi meters are not calibrated just to take into account the distance traveled, but the time is also taken into account. Have you never noticed that if you ask a cab to wait for you for a few minutes the meter keeps on ticking?

If he takes longer than expected the bill would go up, if he goes to fast the bill for the same distance would be less.

https://auto.howstuffworks.com/taxi-meter1.htm

Agent Smith February 01, 2022 at 03:43 #650034
Quoting Sir2u
if you ask a cab to wait for you for a few minutes the meter keeps on ticking?


This I have noticed, but it slipped my mind. However, the meter's calculations are still based on how far the taxi would've travelled at some predefined speed. :up:
Sir2u February 02, 2022 at 00:05 #650331
Quoting Agent Smith
However, the meter's calculations are still based on how far the taxi would've travelled at some predefined speed.


So you do not have a paradox. At least not the one you stated.

Neither part actually contradicts the other.
Agent Smith February 02, 2022 at 04:32 #650404
Quoting Sir2u
So you do not have a paradox. At least not the one you stated.

Neither part actually contradicts the other


It seems that the word "paradox" has a much broader definition than just contradictions.

Even so, the taxi fare: is it for distance or is it for time?

Both?
Distance = [math]speed \times time[/math]
Sir2u February 03, 2022 at 00:18 #650651
Quoting Agent Smith
It seems that the word "paradox" has a much broader definition than just contradictions.


Yes, some people use it to describe things that don't make sense. But I cannot think of how to justify its use here. Can you?

Quoting Agent Smith
Even so, the taxi fare: is it for distance or is it for time?

Both?
Distance = speed×time


It is explained more or less in the article I posted a link to. Both count.

If a taxi driver covers 2 miles in 5 minutes he might earn less than if he made the same journey in 6 minutes. That would balance out if he could make more trips. It would all depend on the setup of the meter.
Agent Smith February 03, 2022 at 05:58 #650721
Quoting Sir2u
Yes, some people use it to describe things that don't make sense. But I cannot think of how to justify its use here. Can you?


Does it make sense for the payer's calculations to be based on distance while the payee's is based on time? Is space = time? It seems so, monetarily. That's the paradox.

Lightyear is a measure of distance, not time. Sometimes people reply when asked how far a place is, "it's 5 minutes from the station."

Taximinute/hour?
Sir2u February 04, 2022 at 00:59 #651062
Quoting Agent Smith
Does it make sense for the payer's calculations to be based on distance while the payee's is based on time?


But both amounts are calculated using the same method, so this cannot be true.
The payer's bill is calculated on the amount of time it takes the payee to travel the distance, he is not paying just for the distance traveled.

As I said before the two just appear to be different because of point of view, there is no paradox there.
Agent Smith February 04, 2022 at 02:44 #651099
Quoting Sir2u
But both amounts are calculated using the same method, so this cannot be true.
The payer's bill is calculated on the amount of time it takes the payee to travel the distance, he is not paying just for the distance traveled.

As I said before the two just appear to be different because of point of view, there is no paradox there.


I did my own investigations into the matter - distance it is, not time.
Nils Loc February 04, 2022 at 02:57 #651104
Quoting yellowcabhemet.com
While the taxi is traveling above the "crossover speed," the added 25-cents is a mileage charge only. When the cab is below the "crossover speed," the added 25-cents is a time charge only.


When taxi goes vroom vroom fast, distance rate only applies. When taxi go too slow, sneaky time charge pulses add to the bill.
Sir2u February 05, 2022 at 00:54 #651410
Quoting Agent Smith
I did my own investigations into the matter - distance it is, not time.


Show me where you found this.
Agent Smith February 05, 2022 at 02:27 #651439
Quoting Sir2u
Show me where you found this.


Just google it!
Sir2u February 06, 2022 at 05:16 #651917
Quoting Agent Smith
Just google it!


I already did that, and provided a link to the information.

If you cannot do the same, then I think that you have no case to fight and that the discussion has ended.
Agent Smith February 06, 2022 at 06:49 #651946
Reply to Sir2u You havden't done your homework. That's why you're objecting to the claim that it's a paradox.
Sir2u February 06, 2022 at 21:46 #652178
Quoting Agent Smith
You havden't done your homework


and you did not read the article.

Quoting Agent Smith
That's why you're objecting to the claim that it's a paradox.


That is why you are claiming it is a paradox.

Taxi fare is not calculated by the drivers hurrying to reach the destination because if he goes to fast the customers are in the cab only a short time and pay less. It would not make sense for him to do so.

Don't bother to answer. :smirk:
Nils Loc February 06, 2022 at 22:28 #652196
Quoting Sir2u
Taxi fare is not calculated by the drivers hurrying to reach the destination because if he goes to fast the customers are in the cab only a short time and pay less. It would not make sense for him to do so.


But we've just established that at a certain speed only distance is metered. So if there isn't much traffic, a taxi driver can increase his daily income if he speeds to get more fares for the day. All he needs to do is maximize distance traveled in a day above cross over speed. But the question is whether it is really worth it to do so relative to whatever the time metering rate is. Looks like crossover speed for one company is above 11 mph.

Still don't know why there would be a paradox. It's more a question of optimization. Is it worth it for a cabbie to speed?

Quora: Do taxi drivers make less money in slow traffic?

The answer is yes.

$.50/54 seconds versus $2.50/mile

@ 40miles/60 minutes speed you get .66miles/minute so that works out to like $3.30/2 minutes at 40mph versus $1.11/2 minutes waiting in traffic (or equal to and below 11mph).
Agent Smith February 07, 2022 at 05:56 #652319
Reply to Sir2u Well, it's like this:

A taxi fare can't be/shouldn't be based on time for there are too many unpredictables involved (an accident, a traffic jam, a fallen tree, etc. that could delay the journey). Ergo, it makes sense to base a taxi fee on distance rather than time.

A cabbie can do nothing about distance (excepting taking a longer route rather than a shorter one) and so, if s/he wants to make more money, it has to be by speeding so that he can cater to more customers (more customers, more moolah).

This is the paradox then: you pay for the distance the cab travels, the cabby acts as if you paid for his time.
Nils Loc February 07, 2022 at 16:47 #652406
Quoting Agent Smith
This is the paradox then: you pay for the distance the cab travels, the cabby acts as if you paid for his time.


Because time is always an inescapable value factor that applies to any kind of labor. There would be no passengers if they could not expect to get to their destinations on time. It takes time to travel any distance and there are only so many hours in a work day.

What form of productivity doesn't gain or lose value relative to the amount of time it takes to perform?








Agent Smith February 07, 2022 at 18:05 #652423
Reply to Nils Loc I've run out of things to say.

Good day!
Sir2u February 08, 2022 at 00:04 #652500
Quoting Nils Loc
But we've just established that at a certain speed only distance is metered. So if there isn't much traffic, a taxi driver can increase his daily income if he speeds to get more fares for the day.


Agreed, but this would then depend on variables such as final location, route taken, distance from starting point, time of day. It would not be standard set of variables for each customer.

There would also be limits imposed in some places on speed of vehicles. I don't know if it is still true but the cab company my mother worked for had speed regulators on all of their cars, many companies had them.

But one thing that is almost always true, the cabby is not going to lose money. He just has to find a way to maximize the number of trips he makes.