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Answer: 50 minutes: between four o'clock and eight o'clock we have 240 minutes. In these 240 minutes we have 4 lots of the unknown time (t) and 40 minutes. Therefore 240 = 4 x t + 40. Therefore t = 50 minutes. QED.

Puzzle 997

In my dining room I have a triangular table which has sides of 62, 37 and 24 inches.

I also have some napkins which measure 6 inches square, can you determine how many napkins I need to totally cover the table?

[Ref: ZENS]

Hint: What is the area of a triangle? Does this help?

Answer: None.

This table cannot exist as the longest side is longer than the two smaller sides combined.

Puzzle 998

What three letter word best completes the below words?

Hint: For every real hour, how many watch minutes pass?

Answer: 12:11pm.

Since the watch is losing 6 minutes every hour, for every real hour that has passed, the watch will only show 54 minutes (i.e. for every 54 clock minutes, 60 real minutes have passed)

Since the watch shows 10:39am we know:

10:39am = (10 x 60) + 39 = 639 watch minutes

for every 54 watch minutes, 60 real minutes have passed:

(639 ÷ 54) x 60 = 710 real minutes

and converting this to hours:

710 minutes = 11 hours 50 minutes

the watch stopped 21 minutes ago, so the current time is:

12.11pm. QED.

Puzzle 1000

Gib is to llams as nepo is to desolc as pu is to ==?==