Mi gata maulla.
Time Lords really hate the number
3
. They spend all day staring at their digital watches and anytime the digit three pops up in any position, they
instantaneously
add one minute to it until the three disappears.
140
minutes after
WX:YZ
, the watch reads
4:00
. Find
W+X+Y+Z
if there is 12 o'clock precedes 1 o'clock.
The answer is 12.
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From what we know, all times with a 3 digit can be eliminated. As we do this, we realise each hour on the watch will only last 45 minutes as we eliminate the values X:03, X:13, X:23, X:30-39, X:43 and X:53. Using this, we now wish to go back 140 minutes, which, in weird Timelord time, is 3 hours and 5 minutes (3 x 45 minutes + 5 minutes).
Notice, however, that once we go back in time by one minute, we are at 3:59, so we must eliminate this entire hour, so to a Timelord, going back in time by one minute from 4:00, would lead to 2:59.
Going from 4:00 - 2:00 takes 45 minutes, 4:00 - 1:00 takes 90 minutes, and 4:00 - 12:00 takes 135 minutes. We then take off the remaining 5 minutes to get to 11:55.