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Puzzle 629
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?
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.
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Puzzle 630
If I was in Florida and dropped a heavy ball into a bucket of water which was at a temperature of 45 °F and dropped another identical ball into an identical bucket of water at a temperature of 25 °F …
… which ball would hit the bottom of the bucket first?
Hint
Remember that the question uses Fahrenheit °F.
Answer
The ball would reach the bottom of the 45 °F bucket first because the water is frozen in the 25 °F bucket!
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Puzzle 631
Here are some less well known proverbs. What is the missing word in each?
Loyalty is worth more than ?.
He that cannot pay in ? must pay in person.
Shameful ? is worse than shameful eating.
Don't say ? until you are asked.
Payment in advance is ? payment.
Answer
Loyalty is worth more than money.
He that cannot pay in purse must pay in person.
Shameful leaving is worse than shameful eating.
Don't say no until you are asked.
Payment in advance is evil payment.
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Puzzle 632
My first is in mammoth, but not in elephant.
My second is in raccoon, but not in beaver.
My third is in dobbin, but not in horse.
My fourth is in koala, and in kangaroo.
My fifth is in tiger, but not in lion.
My last is in pony, but not in horse.
What am I?
Hint
My first letter is M, and watch out for the wording for the 4th letter.
Answer
A monkey.
Reasoning
The first letter can be: M O
The second letter can be: C O N
The third letter can be: D B I N
The fourth letter can be: K O A
The fifth letter can be: T G E R
The sixth letter can be: P N Y
It is now four years since I first asked for support, and I would like to sincerely thank everyone who has helped me. BrainBashers doesn't show adverts, and I continue to depend on the ongoing support from everyone who enjoys the site.
