Puzzle 241
Which are there more of:
… rolls in a dozen baker's dozen
or
… hours in a week?
Puzzle Copyright © Kevin Stone
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Hint
A baker's dozen is 13.
Answer
Hours in a week.
Reasoning
A dozen is usually 12, but a baker's dozen is usually 13.
So a dozen (12) baker's dozen (13) = 12 x 13 = 156.
There are 24 hours in a day, and 7 days in a week.
So there are 24 x 7 hours in a week = 168.
Puzzle 242
Which is larger, the number of seconds in a week …
… or the number of minutes in a year?
Puzzle Copyright © Kevin Stone
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Hint
There are 60 seconds in a minute, and 60 minutes in an hour.
Answer
Seconds in a week.
Reasoning
There are 60 x 60 x 24 x 7 = 604,800 seconds in a week.
There are 60 x 24 x 365 = 525,600 minutes in a (non-leap) year.
Puzzle 243
On the charts I remain number one,
This position cannot be undone,
If I burn, you may get
Just a little bit wet.
In a zeppelin, I am no fun.
Puzzle Copyright © Alan Stillson
Website: www.stillsonworks.com
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Puzzle 244
If one small rabbit can dig a warren in nine hours, a medium rabbit can dig a warren in 6 hours, and a large rabbit can dig a warren in four and a half hours.
How long will it take one small, one medium and one large rabbit to dig a warren if they all work together?
Puzzle Copyright © Kevin Stone
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Hint
How much of a warren each rabbit dig in one hour?
Answer
2 hours.
Reasoning
The small rabbit can dig a warren in nine hours, so digs 1/9 in one hour.
The medium rabbit can dig a warren in 6 hours, so digs 1/6 in one hour.
The large rabbit can dig a warren in four and a half hours, so digs 1/4.5 in one hour.
1 Hour = 1/9 + 1/6 + 1/4.5
To make the denominators all the same, we can multiply through by 18/18 to give:
1 Hour = 2/18 + 3/18 + 4/18
1 Hour = 9/18
1 Hour = 1/2
So in one hour, they have dug half a warren, the whole warren will therefore take 2 hours.
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