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They lose 1 point of food every 15 seconds, so to time how long until they start starving, multiply their current amount of food by 15 and then divide by 60 twice. This will give you the number of hours left untill the food stat reaches 0.
Equation:
((15 x food)÷60)÷60

Obtaining this creature will require you to enter the tek trench where puprle liquid and the nests of these creatures lay past the bioluminescent chamber, there you must steal an egg and raise in a cold environment feeding it nameless venom you can get by killing nameless

Another way to do the math for food stat loss when raising rockdrakes. They lose 1food per 15 seconds. you lose 4 food every minute. (My advice go up to 5 if your paranoid like me and get Arked. 60mins x 4food = 240, (240 is the total food stat loss per hour.)
Now take your total food stat and ÷ by 240, and you will have a correct time as well.

Their eggs are the opposite of wyverns, they need to be very cold to hatch. It took mine 20 air conditioners to get to the right temp! You feed them Nameless venom when they hatch.

The rock drake trench can be found at 57,56 at the area of the map called grave of the lost. Recommend u bring a glider suit and climbing picks and if u have a good tame to fight the drakes. In the wild they can be invisible and can glide in the wild so watch out also wear a HAZARD SUIT it's needed. Lastly there are a lot of nameless in the area so bring a light source. Good luck and ohh it needs to be cold to hatch so air cons

DO NOT USE 1 POUNT IF FOOD EVERY 15 SECONDS IN YOUR EQUATIONS (for raising rock drakes) I’ve seen many comments that say this but i have tested it and the babies lose 1 point of food every 10 seconds! If you assume it as 15 seconds your baby will likely die!

They are really easy to raise. In 10 minutes they lose about 57 food and in 1 hour they lose 343 , also , 1 nameless venom gives 400 food.

You have to steal an egg like a wyvern. I used a lot of ziplines and a high level ravager to get down there, used the pick to climb up to an egg and ran. The drakes nearby WILL aggro on you. I got on my ravager and ran away on the ziplines. Make sure you have a hazat syit to protect you since there is radiation down there.

for me, in a metal box it took 16 air cons

You can't tame a Rock Drake by knocking it unconscious. You need to find their glowing nesting caverns and steal one of their eggs to hatch your very own Rock Drake.

Real men get the eggs alone with climbing picks and glider and kill the mom with their bare hands like men

Use climbing pick's to climb up to a nest and make sure that there are no Drake's then take the egg and glide out on a wingsuit. You can out-glide a Drake.Stay clear of the water and a have a shoulder pet to stop the Nameless. Have a hazard suit on and you need like 20 air conditioning units to make it hatch. Feed it Nameless venom to raise.

In one of the explorer notes of Mei Yin, she wrote that she tamed one of these guys with KO method using tranq arrows

I took 2 hazmat suits 2 gliders 2 zip line motors 20 zip line and almost didn't make it out. Grab red Crystal when you're down their you'll need 100 for the saddle

To continue from my previous formula of food x 10 or 45 ÷ 60 ÷ 60 one venom replenishes 400 food. At ~18% OF TOTAL FOOD is when my rock drake ate, for me this was 846/4800 but i read it would eat at 10%. Here's a simple formula to find when yours will eat based on 18% : (max food) x 0.18 = eat.

To get an egg you can just glide into the caves with the hazard suit with a wingsuit equipped. U have to glide into the golden Cave and get an egg out of a nest. Now immediately jump off the nest and use the suit to glide to one of the metal portals. Stay calm and use some climbing picks(I had 15 and I NEEDED all)to get out of the caves. Have fun and enjoy.

After can find the Eggs at 57 Lat 67 Lon once you have the egg back at your base you will need to gather Nameless Venom in order to feed the baby drake

Iff you use a ravager,I recommend you use mushroom brew, since it gives it temporary rad. resistance. And iff your suit breaks in the redzone but you still make it out alive, keep in mind that auric shrooms cure radiation sickness

Go down to blue to hatch and place 20 air conditioners. Then just grab venom on the go whilst getting metal for your industrial forge