Puzzle 197
How should these words actually be spelled, without using a dictionary.
bizz-ness
com-it-ee
sin-seer-lee
ark-ee-ollow-jist
Puzzle Copyright © Kevin Stone
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Hint
Be careful with the middle of the last word.
Answer
Business.
Committee.
Sincerely.
Archaeologist.
Puzzle 199
You've been asked to buy the cakes for the school party and you've been given $100 to buy 100 cakes.
Donuts cost 56c, chocolate eclairs cost $2.26 and iced rolls cost 92c.
How can you spend exactly all of the money on the 100 cakes?
Puzzle Copyright © Kevin Stone
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Answer
15 donuts, 10 chocolate eclairs and 75 iced rolls.
15 + 10 + 75 = 100 and 15 x 0.56 + 10 x 2.26 + 75 x 0.92 = 100.00.
Puzzle 200
During a recent BrainBashers race meeting, the fastest driver managed to complete a lap with an average speed of 150 mph.
They managed to complete the first two fifths of the lap at a speed of 123 mph and the second two fifths of the lap at a speed of 164 mph.
At what speed was the final one fifth of the lap length covered?
The answer is not 176 mph.
Puzzle Copyright © Kevin Stone
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Hint
Adding the speeds won't work.
Answer
205 mph.
Reasoning
If we take the number of miles in a lap to be L miles and use Time = Distance ÷ Speed.
The first 2/5 are covered at 123 mph. Therefore, the time taken was [(2/5) x L] ÷ 123 hours.
The next 2/5 are covered at 164 mph. Therefore, the time taken was [(2/5) x L] ÷ 164 hours.
The last 1/5 is covered at y mph. Therefore, the time taken was [(1/5) x L] ÷ y hours.
The entire trip is covered at an average of 150 mph, and we can conclude that:
2L 2L L L
————— + ————— + ——— = ———
5x123 5x164 5y 150
Rearranging and simplifying gives:
1 1 2 2
——— = —— - ——— - ———
y 30 123 164
That means that y = 1 ÷ (1/30 − 2/123 − 2/164)
Using a calculator gives y = 205.
