A number of different versions of the puzzle are available. For this post we are using the Fox and the Duck version. A duck, pursued by a fox, escapes to the center of a perfectly circular pond. The fox cannot swim, and the duck cannot take flight from the water. The fox is four times faster than the duck. Assuming the fox and duck pursue optimum strategies, is it possible for the duck to reach the edge of the pond and fly away without being eaten? If so, how?

From : IndiaDiscuss.com Interview Questions and Puzzles

Solution:

This is not a simple mathematical puzzle to solve like normal common problems. Fox in this puzzle is too fast and clever for any normal and simple strategy.

From the speed of the fox it is obvious that duck cannot simply swim to the opposite side of the fox to escape. Pi*R/4 < R.

Let V be the speed of Duck and 4V speed of fox.

Now we need to find out the position from where duck can swim to the shore in time less then Pi*R/4V. Pi = 3.14.

To keep things simple we will take the distance from center for the duck to escape when the fox is on the exact opposite side of the pond to be R/4.

So duck can swim in 3R/4V which is less than Pi*R/4V.

Now the next challenge is how we can make sure the clever fox will be on the opposite side. Here is the tricky part.

Let the duck rotate around the pond in a circle of radius R/4. Now fox and duck will take exact same time to make a full circle. Now reduce the radius the duck is circling by a very small amount (Delta). Now the Fox will lag behind, he cannot stay at a position as well. Now in due time duck will get to a position we wanted, 3/4*R distance away from shore where fox is on the exact opposite side of the pond. From there duck can swim safely to shore and fly away.

Subscribe to:
Post Comments (Atom)

## 21 comments:

It's nice blog and quite informative to help to know about much new things i was not knowing .

Can you tell me how we will create or can tell me Volume of a Sphere Formula .So will be used to calculate .

Thanks Sway, I like puzzle toddler puzzl,ebaby puzzle, this puzzle too as it needs logical thinking to be able to complete. Will you be trying this out on your pupils?

please follow this link

https://play.google.com/store/apps/details?id=com.woozle&hl=en_GB

elaborate this part a bit more...

To keep things simple we will take the distance from center for the duck to escape when the fox is on the exact opposite side of the pond to be R/4.

So people who like to solve puzzles online visit

martmind.com on facebook-- page developed bymartmind.com(BUY - THINK -GET SUCCESS)Thank You allMore Interview Puzzles

Best ias coaching in bangalore

.www.globalias.in

i really like this blog.And i got more information's from this blog.thanks for sharing!!!!

Iperidigi

SEO Company in Chennai

SEO Company in India

this is very nice post and thanks for sharing this wonderful information to us.i really would like to appreciate to your attention for us.

Hadoop Training in Chennai

Best ssc coaching in Bangalore

http://www.miqclasses.com/ssc-coaching-centers-in-bangalore/

There are many interesting information included and i can easily understand all given information.I post something on my blog to post something, or wait to post something worth saying. Keep update more information....

Logistics management software

Manufacturing ERP

Oil and gas ERP

Very interesting to read your blog. It make viewer to keep updated.

Python Training in Chennai

This is so informative blog and i have used this 5 minutes thing very useful too happy with this blog........

SAP FICO Training in Chennai

this is very nice post and thanks for sharing this wonderful information!!!

SAP MM Training in Chennai

I really like this blog.And i got more information's from this blog.thanks for sharing!!!!

SAP Basis Training in Chennai

Great post! I am actually getting ready to across this information, It's very helpful for this blog.Also great with all of the valuable information you have Keep up the good work you are doing well.

SAP SD Training in Chennai

Great post! I am actually getting ready to across this information, It's very helpful for this blog.Also great with all of the valuable information you have Keep up the good work you are doing well.

SAP SD Training in Chennai

Best ias coaching in bangalore

.www.globalias.in

Its really an Excellent post. I just stumbled upon your blog and wanted to say that I have really enjoyed reading your blog. Thanks for sharing....

Carwash in omr

usedcars in omr

automotors in omr

car accessories in omr

Best ias coaching in bangalore

.www.globalias.in

Post a Comment