There’s a time cut for every stage of the Tour de France. A rider finishing outside of the time limit is out of the race. Another of the Tour de France’s Frequently Asked Questions is how are the time cuts calculated. Here’s the explainer and the numbers for this year’s Tour.

**Why?**

The time cut ensures no rider can coast around the course all day long, taking it easy when they’re supposed to race. It ensures a homogeneous peloton of riders making similar efforts each day.

**Moving target**

The time cut varies and is based on a percentage of the winner’s time on the day. But it’s more complicated than that because the percentage varies according to the type of stage and then the speed on the day. The idea behind this is to have a small amount of time for a short and flat stage, and a larger amount for a big day in the mountains.

**Do the maths**

First you have to check the “coefficient” of the stage. These are awarded to different stages to reflect their difficulty. Here is the table.

Once you have worked out the stage you need to know the winner’s time. You can of course wait for the winner to cross the line but you can also work out their average speed so far during the stage and forecast a probable arrival time. Once you have the winner’s time, real or forecast, you then calculate their average speed for the day because you know the stage distance, ie the distance divided by the winning time.

Once you have this number and the coefficient then it’s time to use one of the tables below to work out what the percentage limit is.

Let’s imagine today’s stage from Grenoble to Risoul, Stage 14 which is a Coefficient 4. If the winner does the course in 5h08m then this works out at 34.5km/h. So the time cut is 12% of this. 5h08m is 308 minutes and 12% of this is 36m56s. So the time cut is 5h08m +Â 36m56s = 5h44m52s.

*If anyone knows of a website tool where I could embed a function on here to calculate this it’d be a useful tool sometimes.*

Any rider outside the time cut is eliminated. Here is a snippet from yesterday’s post-race bulletin:

Dossard 25 is Rider 25, aka Alexander Porsev of the Katusha team and he’s out of the Tour de France because he finished 34 seconds after the cut.

@inrng Here he is half-way up Chamrousse. As always – he got the biggest cheers of the day đ @letour #voiturebalai pic.twitter.com/O09avTdgBk

â Mike de Garry (@Paparrazifull) July 18, 2014

There are two exceptions to the rule or rather the rule includes two exceptions. Here’s the wording:

Finishing times may be adapted under exceptional situations and unforeseen acts of God (weather conditions, blocked roads, serious accident or incident, etc.) according to the assessment of the Stewardsâ Committee, with the agreement of the race management. If the percentage of eliminated riders rises above 20% of starters in the stage, permitted finishing times may be increased upon the decision of the Stewardsâ Committee, with the agreement of the race management. It is understood that the riders who finish within the new permitted times will qualify for following stages, without a precedent being set for the rest of the race.

Tiago Machado crashed on Stage 10 and finished outside the time limit along with team mate Andreas Schillinger. But he was in ambulance for 12 minutes after the crash and the commissaires decided to deduct this time and therefore he and Schillinger made the time cut, that’s an example of the “serious accident” component. It could also include a level crossing or some other event that blocks or slows the rider.

The second point is the safety in numbers element where the gruppetto might contain 20% of the field. The idea is that the race cannot afford to see the peloton reduced by a mountain stage. But this is subjective and only applied in rare cases and when it happens riders are docked points from the points competition, a real penalty for any sprinters who miss the time cut as if they’re allowed in the race their chances of taking the green jersey can vanish.

**Summary**

Hopefully this explains the time cut and how it’s calculated. If you’re inclined you can create a spreadsheet where you have fields for the distance, winning time, stage coefficient and so on. Better still try doing the maths in your head. If you find it hard, spare a thought for the riders at the back of the race today who are doing the calculation several times a day all. Who said maths was easy?

I note you predicted the correct finish time. Chapeau.

Now imagine doing that calculation in your head…while riding at 43+km/hr over mountains.

embed a google spreadsheet with a formula in and protected rows.

A couple of questions:

-How many stage races a year use the “coefficients” method?

-Is a coefficients table publicly available for every WT stage race?

-Is the time-cut table publicly available for every WT stage race?

Some races like the TdF do publish this info as well as the rules and prizes within their website. Many do not. I would suggest the UCI website, but that is still user unfriendly.

They’re often tucked away and I didn’t know the Tour de France put them online in public. The Giro uses coefficients, they call them categories. Smaller stage races just say Stage X = Y cutoff etc.

Something like this?

http://cutoffcalculator.azurewebsites.net/cutoffcalculator.aspx

(I just whipped this up in the last 1/2 hour. If you like it, I’ll finish it).

Fame at last, Mike!!!

Ahem … I had a double-page spread in Velo Magazine once đ

What…were you ‘Mr January’?!

It’s interesting that the short stages are more generous with the time allowances. I would have thought times are more likely to blow out on longer stages.

Also, what’s the definition of a “short stage”?

On a mountain stage the grupetto will lose the majority of their time on the climbs when the leaders are really racing. If that is a short stage then the reasoning is that the leaders will go full gas up all the climbs, putting the same amount of time into the grupetto as they would on a long stage.

So the stragglers will be 30 mins back on a long stage with 2 big climbs but also 30 mins back on a short stage with 2 climbs. Therefore the percentage needs to be higher to stop people being elimiated.

It’s a shame they don’t use the exemptions with a bit more heart sometimes, like when Taylor Phinney rode 4 hours on his own in last year’s Tirenno Adriatico and got ejected after finishing 1/2 an hour behind stage winner Sagan (yes, he does occasionally finish better than 2nd). Especially brutal since he was with a large group, but they all quit’ leaving him on his own. If the others had finished the stage, he probably would have been in a big enough group for them to be allowed to stay in the race. Having said that, it would open a can of worms, and I think the race organisers got it absolutely right when the whole of the USA was complaining about King getting kicked out after the time trial in last year’s TdF.

http://velonews.competitor.com/2013/03/news/phinney-rides-emotional-four-hour-solo-quest-at-tirreno_277623

Please excuse the rogue apostrophe in my comment above. I cannot contain my humiliation.

Fun fact: since 2000, the entire peloton finished above the time cut in two occasions: in Pontarlier in 2001 (35 min 54 sec) and in MontĂ©limar in 2006 (29 min 57 sec). Logically, they were all kept in the race.

That is why I refuse to consider Pereiro as a TdF winner.

?

http://www.cyclingnews.com/races/tour-de-france-2006/stage-13/results

A fairly accurate account of the stage.

If you are thinking that Pereiro should win because he was clean, wellat this. The short of it is that when a reporter tells Pereiro that Landis say that he (Landis) saw him (Pereiro) doping, he replies with “in 2006?”. Not a “What?!”

Great insight again INRNG, I read years back that Chris Boardman in his TDF days was one of the ‘bus drivers’ relied upon to work out the pace to make the time cut in the grupetto. He comes across as a studious enough character!

Don’t forget the autobus, where riders ESP sprinters all group together and climb the mountains as one unit. They just care about riding and chatting together. Since they are a large group, if they are outside time cut the organizers will find it difficult to eliminate them from the race. This is one good way to combat the time cut!

Is any rider in the current pro-peleton considered the leader in these gruppettos?

I read somewhere that both Erik Zabel and Eros Poli was earlier considered points of references in these situations due to their strong mathskills, though I guess nowadays these things are decided from the teamcars of the sprintteams?

Eisel, Renshaw, Soupe among others.

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