So if we think of the midpoint (2 days’ travel) as our refueling stop, and the person going to Ash (me) will need 4 days’ additional supplies to get the further 2 days’ distance and back, then let’s think about this experimentally… Lastly, recall that anyone returning to the coast can stock up again and set out again. We also should remember that we only need one person (i.e., ourselves) to make it to Ash, 4 days’ travel away. If we can leave supplies lying around, then remember that carrying 5 days’ provisions means that starting out, you’ve got enough to travel for 2 days, travel 2 days back, and leave 1 days’ rations on the ground. Therefore, the day on which Suarez tells the truth is Tuesday.This question is ambiguous: it needs to tell us whether we can leave supplies alone in the desert, or if the supplies must be minded by someone. Because the statement on day 2 must be untrue, we can conclude that day 2 is a Monday. This means that Suarez told the truth on day 3 and that this day is a Monday or a Tuesday. From this we can conclude that the statement on day 1 must be untrue. However, this would imply that the statement on day 2 is true, which is impossible. Therefore, day 2 is a Thursday or a Saturday. Then the statement on day 3 must be untrue, from which follows that Suarez tells the truth on Wednesday or Friday. So, exactly one of these statements must be true, and the statement on day 2 must be untrue.Īssume that the statement on day 1 is true. Since Suarez tells the truth on only one day, these statements cannot both be untrue. If the statement on day 3 is untrue, this means that he tells the truth on Wednesday or Friday. If the statement on day 1 is untrue, this means that he tells the truth on Monday or Tuesday. We know that Suarez tells the truth on only a single day of the week.
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