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Quiz of the Month (April 2002)

Hector C. Parr

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SOLUTION TO LAST MONTH'S QUIZ

1.  80 ml.
2.  100 ml.
3.  120 ml.

Notes
We give in detail the solution to question 3 only. Questions 1 and 2 are solved in a similar manner.
Day 0:  A, B and C set off, each carrying 12 days' supplies.
Day 3:  C gives 3 day's supplies to each of A and B.
        C turns around.
Day 6:  B gives 3 days' supplies to A and turns around.
Day 12: A reaches greatest distance, and turns around.
        B reaches base. Sets off again with 12 days' supplies.
Day 18: B meets A. B gives A 3 days' supplies. B turns around.
        C sets off from base with 12 days' supplies.
Day 21: C meets A and B, and gives each 3 days' supplies.
        C turns around.
Day 24: A, B and C all back at base.

THIS MONTH'S QUIZ


1. You have a supply of identical wooden blocks each of length 24 cm. You are to place two blocks on the edge of a table as shown, to span as great a horizontal distance as possible without overbalancing. What is the greatest distance by which the top block can overhang the edge of the table?

2. If three blocks are used, what is the greatest distance by which the top block can overhang the table?

3. How many blocks are needed for the top block to overhang the table by at least 30 cm?


***

(c) Hector C. Parr (2002)


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