Logic Puzzles

8. The Pigeon

Two friends decide to get together; so they start riding bikes towards each other. They plan to meet halfway. Each is riding at 6 MPH. They live 36 miles apart. One of them has a pet carrier pigeon and it starts flying the instant the friends start traveling. The pigeon flies back and forth at 18 MPH between the 2 friends until the friends meet.

How many miles does the pigeon travel?

Added 1 January 2007

Hint:

You must presume that the pigeon can go from 0 to 18 mph instantaneously, plus also turn around instantaneously.

Solution:

54.

It takes 3 hours for the friends to meet; so the pigeon flies for 3 hours at 18 MPH = 54 miles.


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Comments (30)

Anonymous 2 January 2007

On the easy pigeon problem, wouldn't the pigeon travel less and less between the two bikers since they are traveling towards each other?

Anonymous 2 January 2007

In the easy pigeon problem, wouldn't the pigeon travel less and less between the two bikers since they are traveling towards each other?

Anonymous 26 April 2009

The solution is incorrect. The pigeon flies BETWEEN the two friends until they meet, so his flight would get shorter as the two friends get closer together.

Anonymous 26 April 2009

The solution to the last puzzle is incorrect. The pigeon flies between the two friends until they meet, so he wouldn't pass either of them on his flight. Therefore, his flight would get shorter as the two friends got closer together.

Anonymous 12 November 2009

I don't think the answer to the pigeon question is correct. The pigeon does not need to fly the full 36 miles to meet the friend, as they are getting closer together.

Anonymous 13 January 2011

Wouldn't the distance the pigeon travels be shorter as the friends rode toward each other?

Anonymous 6 May 2011

An alternate solution for the man in the river could involve using an airbag, which may not have been considered in the original problem.

Anonymous 12 May 2011

The description of the pigeon flying is incorrect. It states the pigeon is flying between the two friends, not their houses. The calculations show that the pigeon will meet kid 1 on its 27th mile, not the expected 54 miles.

Anonymous 26 May 2011

The Pigeon problem states that the pigeon flies back and forth between the two friends, not their houses. Therefore, the spot at which the pigeon turns back would be sooner every time.

Anonymous 27 April 2012

I have a question about the second question's answer. Why is it that all of them are women except the fireman? Couldn't it also be interpreted that they all live there except the fireman?

Anonymous 25 May 2012

The pigeon flies between the two friends, not between their places of residence.

Anonymous 25 May 2012

The pigeon flies between the two friends, not between their places of residence. Please fix this.

Anonymous 11 July 2012

The friends take 3 hours to meet but they are cycling while the pigeon is flying, so the distance between them decreases. After 1 hour, the pigeon has traveled 18 miles and one friend has traveled 6 miles towards the pigeon, leaving 12 of the 36 miles until they meet.

Anonymous 11 July 2012

The pigeon problem involves the friends cycling while the pigeon flies. The distance decreases as they approach each other, affecting the total travel time.

Anonymous 13 July 2012

question 8 the pigeon... solution is wrong... pigeon is moving between friends... but friends are moving too... pidgeon is not going from 1 friend hous to another friend house its goign between them meaning when pigeon moves, friends move 2... meaning when pigeon never moves 18km per hour he moves less... around 50min and then goes back(didnt calculate) because for that 1h or 50min that friend is moving 2... not sure if u understand me but in this example u cant calculate from a to b movement because a and b are moving too... sry for bad english and i hope u get it ive spent 20min calculating this and i figured this is pure math not logic....

Anonymous 13 July 2012

The solution for 'The Pigeon' is incorrect. The pigeon is moving between friends, who are also moving. Therefore, the calculation should account for both the pigeon and the friends' movements, which affects the time taken.

Anonymous 7 August 2012

The pigeon question has a variable that you are missing. You have ignored the distance traveled by the friends, which the pigeon had to account for. It would take the pigeon 1.66 hours to get to the first meeting point.

Anonymous 7 August 2012

The solution is wrong. The pigeon is moving between the friends, but the friends are also moving, meaning the pigeon does not fly at 18 MPH the entire time. The distance it travels is less because the friends are getting closer together.

Anonymous 7 August 2012

The problem states the pigeon is flying BETWEEN the two friends, not between their houses. After one hour, the pigeon will have flown 18 miles, and the friends are getting closer together.

Anonymous 7 August 2012

The answer to the pigeon question is incorrect. While the bird is flying, the friends are getting closer together, so the pigeon does not need to fly the full 36 miles.

Anonymous 7 September 2012

The pigeon is traveling at 18 MPH, but the friends are also in relative motion. Although it takes 3 hours for the friends to meet, I think the pigeon will not travel 54 miles during this process.

Anonymous 7 September 2012

The pigeon is traveling at 18 mph, but since the friends are also in relative motion, I believe the pigeon will not travel 54 miles during the 3 hours it takes for them to meet.

Anonymous 23 January 2013

Question 8 - The pigeon flies back and forth between the friends. As the friends are moving towards each other, the distance between them is getting progressively smaller, meaning each successive journey will take the pigeon a shorter amount of time to complete. The answer must therefore be less than 54 miles.

Anonymous 23 January 2013

The pigeon flies back and forth between the two friends, not their houses, so the spot at which the pigeon turns back would be sooner every time.

Anonymous 23 January 2013

The answer must be less than 54 hours because the pigeon flies back and forth between the friends, and as they move closer together, the distance decreases.

Anonymous 21 March 2013

Number 8 is untrue. Since both men are riding towards each other, the distance the pigeon travels back and forth is less with each trip.

Anonymous 26 September 2013

I have discovered a mistake in one of your puzzles. You said that the solution to the question about how many miles the pigeon travels is 54 miles. I don't understand how so, because the two friends are coming closer each hour, so the distance that the pigeon travels each hour decreases.

Anonymous 26 September 2013

Number 8 should have the pigeon's distance adjusted to compensate for the distance each rider has traveled, not simply figuring out what 18 x 3 is.

Anonymous 26 September 2013

Wouldn't the distance the pigeon travels be shorter as the friends ride toward each other?

Anonymous 23 January 2015

Your answer to #8 is incorrect. The speed of the stream is 3mph, and the canoe travels at 7mph, therefore they get closer to each other at a rate of 10pmh.

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