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Four men approach a bridge at night. The bridge is old and rickety and can support, at most, two men going across at one time. They have only one flashlight to share between them. Each man has differing abilities and some take more time to cross than the others. The times it takes for each man to cross are: 1 minute, 2 minutes, 5 minutes, and 10 minutes. When crossing in pairs, they can only cross as fast as the slowest man can go.


How can all four men cross in only 17 minutes total?





Answer:

Man 1 and Man 2 cross together with the flashlight (takes 2 minutes).

Man 1 returns to the original side (takes 1 minute).

Man 3 and Man 4 cross together with the flashlight (takes 10 minutes).

Man 2 returns to the original side (takes 2 minutes).

Man 1 and Man 2 cross together with the flashlight (takes 2 minutes).

Adding all the times together (2+1+10+2+2) provides a total time of 17 minutes.