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Four people need to cross a rickety bridge at night. Unfortunately, they have only one torch and the bridge is too dangerous to cross without one. The bridge is only strong enough to support two people at a time. Not all people take the same time to cross the bridge. Times for each person: 1 min, 2 mins, 7 mins and 10 mins. What is the shortest time needed for all four of them to cross the bridge?

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Replies to This Discussion

It will take min 17 min to cross the bridge by all four

Hi Soni,

I have the same solution but can u please Elaborate the solution.

Thanks,

Heera Singh

For the 1st tym : person who take 1 and 2 min will cross in 2 min, again 1st will get back in other end with torch and ask person who take 7 and 10 mins to cross it will take them 10 mins, now sum is 2+1+10=13min. already 2 min person on the other end  Again person with 1 min and 2 min will come back together so all together 17 min

Let me put it in this way

A(1),B(2),C(5),D(10).

A and B Croses the Bridge in 2 min

B comes back and the total is 4 mins

Now C and D crosses the bridge in 10 mins and the total is 14 mins,NOW A,C and D will be there

A comes back in 1 min which is goes to total 15 mins

Now A and B has to cross the bridge now the total will be 17 mins

So Soni kumar is Right,is there any other logic?

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