Four prospectors with only one lantern must walk through a mineshaft. At most, t

Question

Four prospectors with only one lantern must walk through a mineshaft. At most, two prospectors can travel together and any prospector in the shaft must be with the lantern. The prospectors, named Andrews, Blake, Johnson, and Kelly, can walk through the shaft in one minute, two minutes, four minutes, and eight minutes, respectively. When two walk together they travel at the speed of the slower prospector. How can the prospectors get through the mineshaft in only 15 minutes? After you have solved this problem, explain how you got your foot in the door.

Explanation / Answer

1) Andrews and Blake: 2 minutes 2) Andrews back: 1 min 3) Johnson and Kelly: 8 min 4) Blake back: 2 min 5) Andrews and Blake: 2 min => Total is 15 minutes It is necessary to let Johnson and Kelly go together because this combination saves the most time. Knowing that, you can logically think about it and you get the answer :)

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