Results 1 to 4 of 4

Math Help - Jealous Bride

  1. #1
    Junior Member Singular's Avatar
    Joined
    Dec 2006
    From
    Solo, Java
    Posts
    57

    Jealous Bride

    In the 16th century, Niccolò Tartaglia proposed the following problem.

    "Three young couples want to cross a river. Only a small boat that can carry two people is available.

    The men are extremely jealous, and would never accept to leave their bride with a man if they are not present as well. How many passages over the river are necessary?"
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Apr 2005
    Posts
    1,631
    Quote Originally Posted by Singular View Post
    In the 16th century, Niccolò Tartaglia proposed the following problem.

    "Three young couples want to cross a river. Only a small boat that can carry two people is available.

    The men are extremely jealous, and would never accept to leave their bride with a man if they are not present as well. How many passages over the river are necessary?"
    Nine passages or crossings. ------------answer.

    Let us call the 3 young couples, A and A', B and B', C and C'
    The primes are the brides or ladies.
    The banks of the river are the near bank (where they are at first) and the far bank (where they want to go).

    1st passage: A and B ride for the far bank. Both men.
    A' and B' are with C and C', so no jealousy here.
    A is left at the far bank, while...

    2nd passage: ...B rides alone back to near bank.

    3rd passage: A' and B' ride for the far bank. Both ladies.
    A' is left at the far bank with her husband A, while...

    4th passage: ...B' rides alone back to near bank.

    5th passage: B and C go for the far bank. Both men.
    B' and C' are left on the near bank.
    B is left at the far bank, with the couple A and A', while...

    6th passage: ...C goes back alone to the near side.
    At the near side now are B', C and C'. No jealousy. B' is not alone with C.

    7th passage: C and C' go for the far bank.
    B' is left alone at the near bank.

    8th passage: B goes back alone to the near bank to fetch his bride.

    9th passage: B and B' cross to the far bank, and all 3 couples are at the far bank now.
    Last edited by ticbol; January 27th 2007 at 04:32 AM. Reason: 3rd, A' and B' ride for the far bank
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member Singular's Avatar
    Joined
    Dec 2006
    From
    Solo, Java
    Posts
    57
    Quote Originally Posted by ticbol View Post
    1st passage: A and B ride for the far bank. Both men.
    A' and B' are with C and C'
    Quote Originally Posted by Singular View Post
    The men are extremely jealous, and would never accept to leave their bride with a man if they are not present as well
    Eventhough C is together with his bride C'(while A and B crossing the river), A and B would never accept to leave A' and B' with a man which is C if they (A&B) are not present. Like I said the men are extremely jealous.

    So the answer is 11 passages.

    First let say the two side of the river is X and Y and A,B,C are men ; A', B' C' are women

    1.B' and A' cross the river, A' is left on Y

    2.B' rides back to X

    3.C' and B' cross the river, B' is left

    4.C' rides back

    5.A and B cross the river, A is left

    6.B and B' rides back

    7.B and C cross the river, both of them are left

    8.A' rides back alone..........................>>now there are 3 men on the side Y
    and 3 women on side X

    9.A' and B' cross the river, A' is left on Y

    10. B' rides back to X

    11. B' and C' cross to Y......................................>>>now three couples are on far bank(Y)

    By the way two couple requires 5 passages and for 4 or more there's no solution..
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Joined
    Apr 2005
    Posts
    1,631
    Quote Originally Posted by Singular View Post
    In the 16th century, Niccolò Tartaglia proposed the following problem.

    "Three young couples want to cross a river. Only a small boat that can carry two people is available.

    The men are extremely jealous, and would never accept to leave their bride with a man if they are not present as well. How many passages over the river are necessary?"
    Ummm, I see how miserable the lives of those three young couples.
    Any of the brides cannot go to market, church, work, family, friends, wherever if her husband is not with her.

    I'd give any of them ladies 4 months max to either go insane or kill herself. Yeah.

    Or the husband.
    Last edited by ticbol; January 28th 2007 at 10:03 AM. Reason: Or the hubby.
    Follow Math Help Forum on Facebook and Google+

Search Tags


/mathhelpforum @mathhelpforum