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Quiz of the Month (March 2002)

Hector C. Parr

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SOLUTION TO LAST MONTH'S QUIZ

1.  2
2.  10
3.  6

Notes
The illustration shows all distinct solutions. Remember that each cube can be rotated into 24 different orientations.
coloured cubes

THIS MONTH'S QUIZ

1. An explorer sets out from base camp to walk as far as possible into the desert. For part of the outward journey one member of the support team may walk with him to help carry supplies. Each man can carry provisions for one person for 12 days, and can walk 10 miles a day. What is the distance from base of the furthest point the explorer can reach, if both men must return to base without running short of provisions? (There are plentiful supplies at base camp, but none may be left unattended in the desert.)

2. If the supporting member of the team, after returning to base, may set off again to meet the explorer on his return journey, then what is the greatest distance the explorer can reach?

3. If two members of the team may offer support in this way on the explorer's outward and return journeys, what is the greatest distance he can reach?


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(c) Hector C. Parr (2002)


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