Bridge Crossing in Minimal Time

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A family is trapped in a jungle. There is a bridge which can lead them to safety. But at one time, the bridge can only allow two people to pass through. Also, all of them are afraid of the dark and thus, they can’t go alone.

Father takes 1 minute to cross, the mother takes 2 minutes, the son takes 4 and the daughter takes 5 minutes. While crossing the time taken will be according to the slower one. How can they all reach the other side in the minimum possible time?

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  • 1 Answer(s)

    Step 1: Father and Mother go together, crosses the bridge in 2 Min.
    Step 2: Father leaves mother at the other end and  returns  in 1 Min.
    Step 3: Son and Daughter go together, cross in 5 Min.
    Step 4: Mother who is at the other end returns in 2 Min.
    Step 5: Father and Mother cross again, completes in 2 Min.

    Total Time taken: 2 + 1 + 5 + 2 + 2 = 12 Min.

    Viji_Pinarayi Expert Answered on 18th January 2023.
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