Below are ten everyday words, each of which has had some letters removed. The letters removed form either a boy's or a girl's name.
For example, if the word was PAN---IME, the answer might be PANTOMIME. Can you determine the original words?
demi----
---ple
absor---t
he---che
sc----r
----ionaire
break---ce
monog---
-----incense
s---ly
Answer
Here are the contents of the containers after each stage:
A B
0 11 fill B
7 4 fill A from B
0 4 empty A
4 0 fill A from B
4 11 fill B
7 8 fill A from B
0 8 empty A
7 1 fill A from B
0 1 empty A
1 0 fill A from B
1 11 fill B
7 5 fill A from B
0 5 empty A
5 0 fill A from B
5 11 fill B
7 9 fill A from B
0 9 empty A
This leaves 9 gallons in container B.
???
Puzzle 216
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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