FOR CHILDREN

PROBLEM # 1
A race car driver drove, on a 4 km long race course, at an average speed of 120 km/h for the first 2 km. How fast does he have to go the second 2 km to average 240 km/h for the entire course?

FOR GROWNUPS

PROBLEM # 2
Suppose triangle ABC has the property that angle C = 2 x angle A. If side a = 49 abd side b =72, find side c.

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SOLUTIONS TO PROBLEMS ON 11/16/06

FOR CHILDREN

PROBLEM # 1
Calculate the minimum outside surface of a cylindrical bucket with an open upper side and which can hold 30 liters of water.

SOLUTION
42.33 sq. cm.

FOR GROWNUPS

PROBLEM # 2
Circles with centers A and B have radii 3 and 8, respectively. The common internal tangent intersects the circles at C and D, respectively. Lines AB and CD intersect at E, and AE = 5. What is CD?

SOLUTION 
14.67.

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