What starts with an E, ends with an E...
...and usually contains only one letter?
Hint: The answer is an 8-letter word.
Peter decided to walk to the local waterfall, 10 miles away.
At the moment he started, his dog ran off from his side and proceeded to the waterfall at a constant 8 miles per hour.
As soon as the dog reached the waterfall, it started the return journey to Peter, keeping to the same speed.
The dog continued this odd behaviour until Peter reached the waterfall.
If Peter kept to a constant 4 miles per hour, how far did the dog run in total?
[Ref: ZQYQ] © Kevin Stone
Hint: How long did it take for Peter to reach the waterfall?
Answer: 20 miles.
The dog always ran at twice Peter's speed. Since Peter ran 10 miles the dog ran 20 miles.
Using a tap, a nine gallon container and a four gallon container...
...can you measure exactly 6 gallons?
[Ref: ZVOM] © Kevin Stone
Hint: Start by filling the 9 gallon container, and then using that to fill the 4 gallon container.
Here are the contents of the containers after each stage:
9 0 fill A
5 4 fill B from A
5 0 empty B
1 4 fill B from A
1 0 empty B
0 1 fill B from A
9 1 fill A
6 4 fill B from A
6 0 empty B
This leaves 6 gallons in container A.
Yesterday my mother asked me to buy some stamps. Stamps, in the land of BrainBashers, are available in 3p, 9p, 11p, 17p and 21p denominations.
For three types of stamp I was asked to buy eight of each. For the other two types of stamp, I was asked to buy nine of each.
Unfortunately I forgot which I was supposed to buy eight of and which to buy nine of.
Luckily my mother had given me the exact money required to buy the stamps, £5.00 and the shopkeeper was able to give me the correct stamps.
Which stamps did I buy?
[Ref: ZNRA] © Kevin Stone
Hint: What would eight of each add to?
Eight lots of 11p, 17p and 21p and nine lots of 3p and 9p.
The shopkeeper rightly figured that I required eight lots of each of the stamps, which came to £4.88, he also knew I required two more stamps which added up to the difference.