Trains & Bird Puzzle || Brilliant Puzzle

Train A starts from city A and travels towards city B.
At the same time, train B starts from city B and it travels towards city A, on the same railway track.
At the same time, a bird strats from city A and it flies towards city B over the same railway track.

Train A runs at a constant speed of : 60 km/hr
Train B runs at a constant speed of : 90 km/hr
and the bird flies at a constant speed of : 120 km/hr

The two cities are 300 kms apart.

Train A, train B and the bird start exactly at the same time.
When the bird reaches train B, it immediately reverses it's direction and flies back towards train A.
When it reaches train A, it again reverses it's direction and flies towards train B.
the bird keeps on flying back and forth between the two trains until the two trains collide with each other.

What is the distance travelled by the bird before the collision of trains.

The video has the best explanation for the Puzzle solution.

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[vijaynmane]

Finally a puzzle I could solve before Ammar could say pause

[stevethecatcouch]

There is a story about John von Neuman involving a similar puzzle about two cyclists and a fly. The hostess at a dinner party Von Neuman was attending asked Von Neuman to solve it and he gave the correct answer after a second or two of thought. The hostess said she was disappointed that Von Neuman spotted the easy solution. "Many people try to sum the infinite series in their heads", she said. Von Neuman looked surprised. "That's how I did it", he said.

[adiraaz]

I made a geometric series and spent my 20 minutes. When I saw the solution I broke my computer. Now I have to comment this by my Smartphone.

[HomoIndoeuropaeophilus]

Hi mate, since you seem to appreciate us posting other solutions I did so, even though this approach is definitely not unique, of course.
Traced an axis all along the railroad, calling it x.
Values for trains t (for x being time in hours) t1(x=0)=0 and t2(x=0)=300, thus t1(x)=60x and t2(x)=300-90x.
Collision time or Xc if t1=t2. Thus solving for 60Xc=300-90Xc giving Xc=2, thus collision takes 2 hrs.
Distance of bird=speed×collision time. Thus distance of bird=120km/h×2h=240km.

[darshankumarmahto]

What if it was asked that how mny times did the bird took turn🤯

[orbitorbit]

😂😂😂☝️ I just got this puzzle in my recommendations and I started it on a wrong note. After spending almost 2 mins, i realized, I just need the time of collision as i have the speed of 🐦.
I was feeling stupid and brilliant at the same time.😂

[hiteshsolanki]

I got this one right ammar good job your riddles are very trick they are great excersise for brain thanks

[ganeshchavan]

Sir your solution is mind blowing really very easily I am understanding this problem

[Susp]

Thought of some calculations but that was too easy....I missed the fact that no matter how bird flies, distance will be same

[karthikrambhatla]

240 km..
Because I know this puzzle earlier. Amar! Want more puzzles. Love your channel

[rahulgupta]

All Indian science students should recognise this problem from ncert physics book from 11th standard.

[preritgoyal]

Solved it using easier approach.
Got the idea looking at the figures of speeds of trains.
Nice.

[DeepakKumar-gdwg]

Actually this wasn't a problem for maths lovers. The moment you said that the two train travel towards each other at different speeds, I knew that it could be solved really easily by considering their relative speeds.

[sivnand]

Thank u bro
I was looking for this kind of answer for this type of question you did a great job. All others make us understand things theoretically but you made this way easier by animating it.
I appreciate the work done by u. Thank u for helping me

[devondevon]

ANOTHER WAY TO FIND THE TIME BOTH TRAIN TRAVELS IS TO ADD UP THEIR SPEED SINCE WERE MOVING TOWARDS EACH OTHER. SO 90 +60 = 150 Km/hr
time it took to 'collide' (reach each other actually) = 300/ 150 = 2 hr , bird speed 120 km/ hr so bird distance 120 x 2 = 240 kilometers

[legendhero-eulc]

Thank you for the video! All of you friends are super awesome!

[saurabh]

Finally something I could solve quickly. :)

[abhishekbaghel]

Can't believe I solved Maza agaya

[mahendrasugamanchi]

I done in just a min with mind calculations... Easiest puzzle ever...😂

[urk]

I got 240 to, but acctually its less than that if we calculate bird and train inertia (slowing down and accelerating again for bird and accelerating for trains). If accelerating at constant rates and bird and trains need 10 seconds to get to full speed, then bird will will fly little over 148 km.