Hint
In order for the clocks to show the same time (e.g. 2 o'clock), what must the total time gained by one, and lost by the other, total?
Answers Midnight, 10 days later, when they will both show 4 o'clock. Midnight, 30 days later, when they will both show 12 o'clock. Reasoning #1
In order for the clocks to show the same time, the total time gained by one, and lost by the other, must be 12 hours.
For example, if the first clock were to show 2 o'clock, it would have gained 2 hours. In order for the second clock to also show 2 o'clock, it would have had to have lost 10 hours. This is a total of 12 hours gained and lost.
We know that for every hour that passes, the first clock gains one minute, and the second clock loses 2 minutes, for a total time gained and lost of 1 + 2 = 3 minutes.
The total time gained and lost will equal 12 hours when 12 x 60 ÷ 3 = 240 hours have passed. 240 hours = 10 days.
The first clock will have gained 240 x 1 minutes = 240 minutes = 4 hours.
The second clock will have lost 240 x 2 minutes = 480 minutes = 8 hours.
So, they will both show 4 o'clock, 10 days later.
Reasoning #2
In the first answer, we can see that 10 days later, the clocks both show 4 o'clock.
If we move forward another 10 days, both clocks would show 8 o'clock.
If we move forward another 10 days, both clocks would show 12 o'clock.
This will now be the correct time.
So, they will both show 12 o'clock, 30 days later.
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Puzzle 134
In the sentence below, the three missing words are anagrams of each other:
When I pressed ? on the scales, it brought a ? to my eye, as a piece of metal stuck in my finger. I didn't ? this as a good experience.
Answer
When I pressed TARE on the scales, it brought a TEAR to my eye, as a piece of metal stuck in my finger. I didn't RATE this as a good experience.
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Puzzle 135
Can you fill the thermometers with mercury, such that the numbers outside the grid indicate how many cells in each row and column contain mercury?
Mercury always starts filling from the bottom of a thermometer and not every thermometer has to contain mercury.
We usually ask how much earth there is in a hole, which of course there is none!
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