Easy Puzzles 

Workings

Hint
How much of a warren can 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.

Workings

Hint
Look at the number of letters in each name.

Answer
Yes.

Because there is an odd number of letters in the name.

Workings

Hint
How can we write this time and date?

Answer
The time and day became:

12:34 5/6/78 (in UK format)

In US format, this happened on the 6^th of May.

Workings

Hint
Think carefully before you answer.

Answer
Days in the year as there is only one groove per side of a vinyl record!