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Puzzle 1
Last week I drove from Aardvark to Beeville.
On the first day, I travelled 1⁄3 of the starting distance.
On day two, I travelled 1⁄2 of the remaining distance.
On day three, I travelled 2⁄3 of the remaining distance.
At the end of day four, after travelling 3⁄4 of the remaining distance, I was still 5 miles away from Beeville.
The total distance was 180 miles, but as I still had 5 miles to go, the required answer is 175 miles.
Reasoning
Let's try working backwards.
Day 4: I travelled 3⁄4, which means that the other 1⁄4 was 5 miles, and 20 miles were left at the start of day four.
Day 3: I travelled 2⁄3, which means that the other 1⁄3 was 20 mile, and 60 miles were left at the start of day three.
Day 2: I travelled 1⁄2, which means that the other 1⁄2 was 60 miles, and 120 miles were left at the start of day two.
Day 1: I travelled 1⁄3, which means that the other 2⁄3 was 120 miles, and 180 miles were ahead at the start of day one.
The full distance was therefore 180 miles, but we were asked how many miles I had travelled so far, and as I still had 5 to go the answer is 175 miles.
Double-Checking
Start distance: 180 miles.
Day 1: I travelled 1⁄3 of the distance (60 miles), leaving 120 miles.
Day 2: I travelled 1⁄2 of the distance (60 miles), leaving 60 miles.
Day 3: I travelled 2⁄3 of the distance (40 miles), leaving 20 miles.
Day 4: I travelled 3⁄4 of the distance (15 miles), leaving 5 miles.
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Puzzle 2
My BrainBashers electronic world atlas has developed a fault, I did a listing of miles from England to particular countries and here is the result:
Austria 1,800 miles
New Zealand 2,400 miles
Japan 1,200 miles
Brazil 1,400 miles
Hint
Vowels (AEIOU) and consonants are each worth a different number of miles.
Answer
2,200 miles.
Vowels (AEIOU) are worth 300 miles and consonants are worth 200 miles.
Double-Checking
Argentina has 4 vowels (AEIA = 4 x 300), and 5 consonants (RGNTN = 5 x 200), for a total of 1,200 + 1,000 = 1,200 miles.
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Puzzle 3
My local bus company has recently expanded and no longer has enough room inside its garage for all of its buses.
Twelve of their buses have to be stored outside.
If they decide to increase their garage space by 40% they will have enough room for all of their current buses, plus enough room to store another twelve in the future.
Answer
The two sons rowed to safety first, one son rowed back.
I rowed to safety and the other son rowed back to the island.
The two sons rowed to safety first, one son rowed back again.
My wife rowed to safety and the other son rowed back.
Finally, the two sons rowed to safety.
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.
