Puzzle 249
I was recently given a new watch for my birthday.
However, as usual with my presents, it was quite useless as it loses 6 minutes every hour.
I set it using my friend's accurate watch at midnight, and it now shows 10:39am.
I know that the watch stopped 21 minutes ago, so what is the correct time now?
Puzzle Copyright © Kevin Stone
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Hint
How many watch minutes pass in a real hour?
Answer
12:11pm.
Reasoning
The watch now shows 10:39am, so we know that 10 x 60 + 39 = 639 watch minutes have passed.
Since the watch is losing 6 minutes every hour, for every real hour that has passed, the watch will show 54 minutes.
So, 639 ÷ 54 ≈ 11.8333 real hours have passed.
This equals 710 minutes, which is 11 hours and 50 minutes = 11:50am.
The watch stopped 21 minutes ago, therefore the time must now be 12:11pm.
Puzzle 250
Using the letters AAEEHHLLLLMMNNOOSSTT complete this grid. The grid reads the same across as down.
Note: this puzzle is not interactive, and the letters cannot be clicked.
Puzzle Copyright © Kevin Stone
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Hint
The bottom word begins with M.
Answer
| C |
H |
A |
S |
M |
| H |
E |
L |
L |
O |
| A |
L |
I |
E |
N |
| S |
L |
E |
P |
T |
| M |
O |
N |
T |
H |
Puzzle 251
In this sequence of planets, can you work out why they are listed in this order?
Jupiter, Saturn, Uranus, Neptune, Earth, Mars, Mercury, Venus.
Puzzle Copyright © Kevin Stone
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Hint
The answer is something to do with time.
Answer
The order is based on the length of day of the planet in Earth hours and days.
Jupiter has the shortest day (≈ 9 Earth hours), and Venus has the longest day (≈ 243 Earth days).
Puzzle 252
At my local farmer's merchant, you can buy chicken feed for 15c per tonne, pig feed for $1.25 per tonne, and cattle feed for 40c per tonne. The feed can only be purchased by the tonne, and part tonnes aren't sold.
Last week I bought some animal feed, and luckily I managed to buy exactly 100 tonnes for exactly $100. How much of each feed did I buy?
Puzzle Copyright © Kevin Stone
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Hint
What are the maximum and minimum tonnes of pig feed I could have bought?
Answer
I bought 15 tonnes of chicken feed, 75 tonnes of pig feed, and 10 tonnes of cattle feed.
15 x 0.15 = 2.25
75 x 1.25 = 93.75
10 x 0.40 = 4.00
100 tonnes = $100.00
A possible solution method follows...
I couldn't have bought 80 tonnes of pig feed because this would have cost the full $100.00, but I wouldn't have then had 100 tonnes in total.
Similarly, 70 tonnes of pig feed would have been too few, as this would cost $87.50 and even the remaining 30 tonnes all being cattle feed wouldn't have reached the required $100.00.
So, let's try 71 tonnes of pig feed = $88.75:
plus 1 x chicken feed + 28 x cattle feed is over $100.00
or 2 x chicken feed + 27 x cattle feed is under $100.00
so 71 tonnes of pig feed doesn't work.
Let's try 72 tonnes...and so on.
We soon get to 75 tonnes of pig feed and find the answer.
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