JonC 101 / Brainteaser Collection / Bridge Crossing in Pairs

Four guys are attempting to cross over a chasm on a rickety old bridge in the middle of the night. Because it is so dark, the bridge can only be crossed with a lantern. Because the bridge is so unstable, only two people can cross the bridge at a time.

The guys do have one lantern with them that will allow them to cross, however, they are not all as nimble as each other. As a result, they take different lengths of time to cross the bridge. The respective times it takes for each to cross is 1min, 2min, 5min and 10min.

If two guys are walking across the bridge together with the lantern, they can only cross as fast as the slower of the two can.

What order should they go in to get all four of the guys across the bridge in the shortest total amount of time?

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