Very Tricky Race Puzzle

A, B & C...run in a 100 meters race.
Each person runs at a constant speed throughout the race
- A beats B by 20 meters
- B beats C by 20 meters
Puzzle: By how many meters does A beat C ?
Please like and share the video

[@mirekkowalski796]

"they all run at constant speed". I just love the absurdity of math puzzles.

[@sanyammishra1263]

More intuitively we can say B has 20% less speed than A, and C has 20% less speed than B. If we assume A has speed of 100 m/s then B has a speed of 80 m/s (20% less than that of A) and C has a speed of 64 m/s (20% less than that of B). So with these dummy numbers we can see that A finishes race in 1 second and at that time C only covered 64 meters. So A beat C by 36 meters.

[@sherlockjunior8612]

I did the same exact thing!!! Sanyam this is the right method actually.Assuming 100m/s speed finding distance step by step is better!

[@silverzero9524]

Did same thing

[@Nevir202]

That was how I solved it as well.

[@rovicgabor2485]

Uhmm. What is a,b,c. Why do they move that fast

[@sanyammishra1263]

A, B and C are The Powerpuff Girls!

[@manigrr]

Solved it - could be solved very easily by simple math. When B reaches 100 C reaches 80 , so where he was when B is at 80 -> 80*80/100 = 64 .

[@jowbloe3673]

To put some numbers to this to make it more concrete for some people: A travels at 10.0 meters/second, B at 8.0, and C at 6.4. After 10 seconds, A has gone 100 meters, B 80, C 64. After 12.5 seconds, B is now at 100 meters, and C at 80. Never mentioned, but C finishes in 15.625 seconds.

[@netravelplus]

The animated explanation is excellent.

[@DEEPAKKUMAR-sk5sq]

"what's up illogical people". Haha subtitles are so smart nowadays.

[@FoxSlyme]

It was "what's topological people" once

[@RandomJoole]

I counted it in my head without pausing the video. Just thinking when A completed the race, B had progressed 80% from the race so the difference between B and C in that moment is 80% from the final amount. So 20m*80%=16 and adding the 20m between A and B gives the answer of 36m. Now going to learn the more fancy formula by you 😊

[@V7B817]

Exactly the same way I have calculated

[@hoshang747]

Very nice riddle keep it up

[@adarshranjantripathy5562]

wonderful trick bro......:)

[@sanjaysaxena207]

So tricky guy you are bro! Genius

[@michaelmilton8085]

I missed d answer wit jst 4 metres😞

[@HritikRoshan-uk5py]

I too.

[@devgupta9781]

Well I got it correct. It took time to me for solving but I did it.😊

[@cpsof]

When A reaches the finish line, B has run 4/5 of the total distance, so the gap between B and C is 4/5 of the final gap between them. 4/5 of 20 is 16, so B is 16 meters ahead C which leads to the answer of 36 meters between A and C.

[@karupentarao346]

superb.....

[@komalagarwal9830]

One cannot think dat ratio can be used in logical puzzles too...good one

[@sasidharvivek5817]

Nice . No bs. Straight answer

[@mahimsd7645]

Enjoyed it

[@nandapeela1080]

Awesome bro

[@leelalakshmansai7762]

Amazing

[@lakshabotusateesh1011]

👏👏

[@arpitkesarwani6123]

Awesome sir

[@aayushrungta2321]

Oh yeah...I did that myself in seconds...gud question

[@LensMagicJourney]

How can we cancel time while individual speed of A, B andC are different?

[@garyash8873]

The real flaw in the question is that victories and positions in races are defined by time taken, not distance between competitors. A did not beat B by 20 meters, but instead by unit of time

[@matteogauthier7750]

Gary Ash Agreed

[@Nevir202]

Depends on what you want to talk about, in drag racing people commonly talk about beating people by X number of lengths. It would be strange to talk about beating someone by a distance in a footrace, but no reason you couldn’t.

[@jowbloe3673]

The final results are usually in time, but they frequently mention distance as well. Horse races are measure in beaten distance, a nose, a head, a neck, a body length, 10 lengths. When A finishes, the lead on B is 20 meters, and when B finishes, the lead on C is 20 meters. Commentators during a race often mention distance behind, not time.

[@natarajan1185]

Nice video sir

[@MythicalMaestro69]

Easy.. More riddle. Please... 😅

[@karthiks5385]

Awesommatic

[@chinareds54]

36. C runs at 80% of the speed of B, so when A finishes, B is at 80m and C is at 64m.

[@TrueAmericans]

Got this one. Shukhar Mawla

[@sanjeevkumar-iw2lz]

an amazing question with amazing animated video.🤟🏿

[@marino9087]

I just solved it with the speed formula but calculating the different times of each racer

[@sanketpatil6711]

It was an easy question...

[@samtabatabaeian2793]

If you know cinetic physics well,you can easily solve it This would be a good question to ask in school in physics classes Thank you very much for your video

[@ratheeshgaming4276]

4th

[@gayathrydevitolety1230]

At ending distance between b and c is 20 meters. So we can say that for every 5 meters b is in additional of 1 meter. So when a won b is at 80 meters and far apart from c at 8x2=16 meters. So totally a to c=distance from ato b and b to c = 20+16 =36.

[@securitysystem]

The race is finished when A crosses the line. A beats B by 20m. B beats C by 20m. So C is 40m behind A when the race is finished. Thats the correct answer to your question. If you want YOUR answer to be correct, ask the right question!

[@aniksaha2000]

it was quite easy......

[@ayanchakraborty2011]

Nice

[@shantelwilliams1822]

I answered 40 lol These are fun

[@ravikumarkanchi2026]

I solved this in seconds

[@shrikantdhote4835]

It was more than easy.

[@robertefremov9380]

So we basically divide the race into 5 cycles of 20m. Now we can easily tell that A advances over B by 4 metres every cycle if we divide the 20 metres distance between them at the end of the race with the number of cycles. We also know that B is faster than C just as much as A is faster than B, because they differ by the exact same distance when B finishes as the distance between A and B when A got to the finish line. Now when A got to the finish we know that B completed only 4 of the cycles because 80/20 = 4. If we know that B advances over C at a rate of 4m/per cycle and he has completed 4 of the cycles 4x4 is 16, so at that point the distance between B and C was 16 + the distance between A and B of 20 meters that is *36meters*

[@aquawoelfly]

Before watching video. A B and C run 100 meters. First thought is that total like... a runs x b runs y and c runs z distance or a race? *continues* a beats b by 20m b beats c by 20 meters. Next thought im missing information... im not sure if this i total or a race? Well if its total we start with a at +40 b at +20 and thats 40 left over. That doesnt divide by 3 nicely... but its still not tricky. Then i remember i dont remember much about physics and calculating distance from "arbitrary" speed. (Ie when speed is not given, nor a time from which to derive one so you asign one as a placeholder [ v=d/t is easier fo me] or work backwords without a speed to solve this kind of problem)

[@rahnumakausar8708]

Let me check, the answer is 36..

[@abhinavsoni8513]

Tricky af

[@studymaterial8714]

Thank you so much sir 🙏

[@ritwikghosh7743]

Did this mentally in less than 15 seconds. Feeling great 😅

[@ritwikghosh7743]

Bro, you literally gave heart to my comment 2 years after posting the video😊 Thanks ✌ Love your channel and riddles😄

[@prakharsharma7543]

I might be wrong But still Can someone plz explain me this: Speed can directly be proportional to distance if only time is taken as constant and in this case it dont seems like nor it is given So.........?

[@gamefacierglitches]

It wasn't given, but mentioned. B was 80% as fast as A (20m lost), and C was 80% as fast as B (20m lost). These were the only hints given, and is all the info needed to solve this problem.

[@rajmenon1000]

When A finishes race, B is 20m behind A but the time for both is same so we can take thier speeds directly proportional to distances travelled. Similarly for B and C as well.

[@jagankhethavath5771]

Wow super😘😘

[@RishuRajj]

👍

[@DonMaguz]

There's no way to know with such little info, but if we assume a constant speed, then 36m. Edit: didn't see the constant speed statement.

[@ravikumarkanchi2026]

This is very simple I was exactly right.

[@saishahi2830]

RAVIKUMAR KANCHI

[@gameofday5299]

It was an easy one🙃

[@sachinmail223]

Yeee my ans is right......

[@Erik-yg7mj]

I love riddles that seem easy but have a trickier solution

[@mirekkowalski796]

You can do it easier. Speed B is 4/5 of speed A. And speed C is 4/5 of speed B. Hence speed C is 4/5 * 4/5 of speed A. Now multiply it by distance (100) and you get 64.

[@lonetraveler3480]

I don't get it. I can almost swear the answer is a variable that can't be defined since humans don't have a constant speed. Though I'd agree this is the best answer possible from the given data.

[@devondevon4366]

The question said ' assume they ran at constant speed' so the assumption is that for every second the speed was the same such as 6.4 meters for every second , while the other ran at 8.0 meter per second and the fastest 10 .0 meters per seconds. So in ten seconds all three runners are at the following distance: 64 meters, 80 meters , 100 meters .

[@lux-vacui]

I solved it by calculating on paper. I don't think i would be able to do it mentally on the spot.

[@Legend-zm5cc]

40

[@claudreindl7275]

The only reason that C was beat at all is because A put a tack in his shoe. 'A' should be disqualified and the race run again, after C's foot heals. This information was totally ignored and I must protest the results!

[@gamefacierglitches]

Me: "B=0.8A, C=0.8B; so C=0.64A. That's 0.36 off of 100 so 36m. EZPZ"

[@justbe1094]

I got it right👍👍👍👍

[@bachaparty3113]

What if we mix all four bottles milk in an another bottle and then feed the rat. I think result will be same.

[@priyeshajha9820]

Wrong video

[@ThePragunjain]

This question was asked in CAT exam

[@silverzero9524]

Might get really tricky in an exam and even trickier if other questions are hard

[@zodiacarrest3152]

My brains are so rusty, took time working it out, but atleast I managed.

[@numannajar.]

Based upon the concept of linear races.(TSD)

[@devondevon4366]

If we assume a car is travelling 100 miles per hour (at constant speed) then in 1 hour it will reach 100 miles. The car 20 miles behind (at constant speed) would have traveled 80 miles per hour AND completed the 100 mile distance in 1.25 hour, but at this time a car 20 miles behind (constant speed) would be traveling at speed of 80/1.25 or 64 miles per hour. So the fastest car would beat it by 36 miles ( 100 miles minus 64 miles) for the 100 mile distance. You said 90% failed, likely many rush to answer it.

[@pinakipattnaik91]

Its speed time n distance based.. Answer is 36.👍😎

[@LOGICALLYYOURS]

perfect

[@gayathrydevitolety1230]

At ending distance between b and c is 20 meters

[@engaymanz]

Smart

[@jewelvs7859]

Haha. Tama ako. Haha. So feeling ko antalino ko. Hahaha.

[@kritigoyal3262]

Yes I got it right

[@desidoodperfect]

#when #is #face #reveal

[@LOGICALLYYOURS]

DDP... really apologize for the delay, in October for sure.

[@desidoodperfect]

Date.?!! Or which week!?!?

[@tubular618]

I got it by realizing the distance between b and c is proportional to b's % of completion times 20. so: 0.8 * 20 = 16 + 20 = 36.

[@sirnikkel6746]

Me at 0:24: My brain: With a speed of 1v, «A» take an advantage over «B» of 20 meters, meaning that «B» was moving at a speed of 4/5v, and if «B» take an adv... Me: A beats C by 40 meters! My brain: Enough! I'm outta here! (Sounds of door slamming) I calculated 64 meters... Lemme check it... Edit: Big oof, i calculated how much «C» moved, not how much it was separated from A

[@bikramkarmakar316]

It was never mentioned that the sprinters were running in a same rate of speed. The question actually has no answer.

[@robinnico7564]

Did you watch a different video?

[@devondevon4366]

he did say at a constant speed

[@dhwajgupta1738]

36m

[@amitkajalva]

No, This is your assumption that C' s speed gradually decreased is wrong. What if C was first and before A finish the line he was behind B.

[@Dpressd568]

Because it says everyone was at a constant speed meaning if c was ahead at first then c would stay ahead

[@samritdebnath3727]

So basically A is Usain Bolt , B is any 2nd div runner nd C is a local guy from me...but how can they togethe compete in a single event?thin logically 😂😂

[@mbvkgp]

Yay I got the right answer

[@manashipanda7642]

How it's 64 at 3.03

[@divyanshudixit73]

they automatically assume that their speed is constant

[@SD-op1pi]

Divyanshu Dixit Its mentioned in the question that the speeds are constant

[@divyanshudixit73]

then its okk

[@ani3073]

Not fair u said constant speed throughout the race

[@jowbloe3673]

And his answer relies on a constant speed.

[@ve2zzz]

The question is unclear. T&F races are ALWAYS is terms of time, not distance. A beats B by 20m.... Is B 20m. behind A when A crosses the finish line or is A ahead of B by 20m. when B crosses the finish line ? 64/36

[@armynyus9123]

Funny, did not believe my calculation - for some reason I thought it should be MORE, not less than 40.

[@sumitprajapati2009]

bhai we are preparing for ssc.😂😂😂 hum ase swalo ko finger tips pe nikalte h...i got my answer within 20 sec

[@AAAAAA-gj2di]

5 secs, 80% of 20 = 16. To 20+16 = 36. Ho gaya

[@kadinfehr785]

👍🏻

[@kingsclubgaming2284]

When the speed is constant how the distance between them changed

[@brainlessbot3699]

Imagine that the distance between A B and C has not changed. Initially it was 0 so finally it should also be 0 i.e. to say that they reach the finish simultaneously. Could it happen if A ran faster than B?

[@stevethecatcouch6532]

The speeds were constant, so the difference between the speeds was constant, so the distance changed linearly.

[@legendsneverdiebyzed9455]

it was 36

[@devondevon4366]

Let A travel at 10 meter per second, then A would complete the 100 meter race in 10 seconds while B would complete 80 meter in 10 second or travelling at a speed of 8 meter per second. B thus would complete the race in 12.5 seconds ( time = distance/speed). In 12.5 seconds C would complete 80 meter or travelling at a speed of 6.4 meters per second ( 80/12.5). When A completed the 100 meter race in 10 seconds , C at that time would be at the 64 meter mark (10 seconds x 6.4 meters/second). 100-64 = 36 meter. A beats C by 36 meters. Answer =36

[@napstarssenpai9855]

Wining doesn't define by meters😏😏😏😏

[@levistepanian5341]

Thirty six 1.25*1.25=1.5625 or 64 -100=36

[@gayathrydevitolety1230]

Ya got it right with anither method

[@baggiojoset]

I went it by solving mathematically A 10 m/s B 8m/s C x m/ s After 10 seconds A reach 100m B reach 80 m C reach 10x m For B to reach 100m time required is (100/8) s =12.5 s After 12.5 s B reach 100m C reach 12.5x which is given as 80m(20 m difference between b and c ) So 12.5 x = 80 x = 6.4 Speed of c is 6.4 m/s After 10 s ( finishing time of A ) C reaches 10x = 10*6.4 = 64 m difference is 100-64 = 36m A beat C by 36 m

[@vishalsingh-kp7rt]

Speed of A to Speed of c =100/ 64 so speed of A = 100k & speed of c = 64k now we are not given the time so we let time 't' be taken by A to reach the finishing line and it is the same time taken by C so distance covered by A & C will be 100kt & 64 kt respectively and distance between them will be 36kt but we don't know about k and t so how we find it ?

[@notchmath9642]

36?

[@RajavarmanJayasankar]

I solved it with different method. Let me know if i am wrong.. I assumed A took 10 seconds to finish 100 meters. In that 10 seconds B has covers 80 meters. Which is at the speed of .125 seconds per meter.. so B will take .125x 20= 2.5 seconds to run last 20 meters.. totally 12.5 second to finish 100 meters. When B finishes 100 meter in 12.5 seconds, C covers 80 meters in 12.5 seconds.. which is at the speed of 0.15625 second per meter. And C would take 20x 0.15625= 3.125 seconds to run 20 meters. In total C would take 15.625 seconds to cover 100 m. We found that A covers 100 m in 10 sec and C covers 100 m in 15.625 seconds. So C took 5. 625 additional to finish than A. C would have run 36 meters in 5.625 seconds. 100/15.625x 5.625= 36 Answer is 36 m - the distance between A and C when A finished the 100 meters. Same answer with different logic.

[@shuvamkumar7978]

Solved it...

[@yashubharadwaj2577]

How can u say when B reaches finishing line C was 20 mts behind As u said B To C is less than 20 mts, now U r saying wen B reaches line C was at 80 ?

[@jowbloe3673]

When B is at 80 meters, C is less than 20 meters behind (16 at 64 meters) because C is going slower than B. B finishes the last 20 meters faster than C, C only goes 16 more meters to get to 80 meters when B finishes.

[@akhilesha6978]

I have a doubt since the speed of a,b,c is constant assuming that a b c have different speeds so their distance from the starting to end will be same . Correct. If its wrong plz expain to me I am confused

[@balball4357]

I don't get how people, even after the video explained it clearly, still don't understand this question. You guys need to have better understanding

[@Shadothecat]

There flaws in the way the question is asked and explain. Which is why people are saying 40 and not 36 meters. Maybe try not being a dick to people.

[@jowbloe3673]

There really aren't any flaws in the question or explanation, but some people my have some flaws in their understanding or thinking.

[@balball4357]

@@Shadothecat you must one of those people who still don't get the qn. Hahaha

[@GameTimeIndia]

First time right answer