FOR CHILDREN

PROBLEM # 1
Lets say you walked all the way across the equator. Assuming that your height is about 6 feet, how much farther would  your head travel than your feet? Give your answer in feet, rounded to the nearest tenth.

FOR GROWNUPS

PROBLEM # 2
Given (see Figure 1):
(sphere) x^2 + y^2 + z^2  = 25
(plane a)   y=2
(point) A (3, 4, 0)
AB=Diameter
AB intersects plane a at M
Find MB:AM.

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SOLUTIONS TO PROBLEMS ON 04/19/07

FOR CHILDREN

PROBLEM # 1
A small store has two full-time employees. If each employee is absent about 3% of the days the store is open, what is the probability that both employees will be absent on the same day!

SOLUTION
0.0009. 

FOR GROWNUPS

PROBLEM # 2
A cyclist drove one kilometer, with the wind in his back, in three minutes and drove the same way back, against the wind in four minutes.

The Question: If we assume that the cyclist always puts constant force on the pedals, how much time would it take him to drive one kilometer without wind?

SOLUTION 
24/7 minutes.

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