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Quiz of the Month (December 2003)

Hector C. Parr

***

SOLUTION TO LAST MONTH'S QUIZ

    1.   70 mph
    2.   75 mph
    3.  100 mph
Notes

Answers independent of total distance. So for simplicity suppose distance = 600 ml.
So expected time = 10 hr.

1. Travels first 250 ml. in 5 hr.
So must travel remaining 350 ml. in 5 hr.

2. Travels first 300 ml. in 6 hr.
So must travel remaining 300 ml. in 4 hr.

3. Travels first 400 ml. in 8 hr.
So must travel remaining 200 ml. in 2 hr.

THIS MONTH'S QUIZ

1. Seven gadgets and five widgets together cost thirty seven denarii, while seven widgets and five gadgets cost thirty five denarii. What does one widget cost?

2. The average age of Tom, Dick, Harry and Fred is 37. The average of Tom, Dick and Harry is 40, while the average of Dick, Harry and Fred is 32. What is the average of Dick and Harry?

3. Wally is always late for work. He can save 36 seconds if, instead of standing on the steps of the escalator, he walks up them, taking 1 step per second. Alternatively he can save 45 seconds by running up them at 2 steps per second. How many of the escalator's steps are visible at any one time?

(c) Hector C. Parr (2003)

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