PROBLEM # 2
What is Sin3θ in terms of Sinθ ?  (symbol is theta)


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Problems from 1/19/12

PROBLEM # 1
A car travels downhill at 72 mph (miles per hour), on the level at 63 mph, and uphill at only 56 mph  The car takes 4 hours to travel from town A to town B.  The return trip takes 4 hours and 40 minutes.

Find the distance between the two towns.

SOLUTION 1
The distance between the two towns is 273 miles

 

PROBLEM #2
The sum of three numbers is 6, the sum of their squares is 8, and the sum of their cubes is 5.  What is the sum of their fifth powers?
 

That is, the sum of the fourth powers of the numbers is 0. 

SOLUTION 2

That is, the sum of the fourth powers of the numbers is 0.

Congratulations to Kishore Balsara, who was the winner of the last set of puzzles.