Changes: Puzzle:Angle Time

Revision as of 18:14, 29 January 2019

042 - Angle Time

Angle Time (Angle Anguish in the UK version) is a puzzle in Professor Layton and the Last Specter.

Puzzle

Have you noticed that throughout the 24 hours of the day there are special times, like 1:11, at which the same digit appears three times in a row?

If you take these special times and measure the angle clockwise from the hour hand to minute hand, excluding angles where 12 lies between the two hands, which time has the greatest angle?

Obviously, the angle between the hands in times like 00:01 and 00:09 is tiny, so you can ignore those form the start.

Hints

Click a Tab to reveal the Hint.

US Version

First, try to think of all the times in a day that have the same number three times in a row. There might be too many to remember, so use the Memo function.

Also, why would the puzzle note times like 00:01 or 00:09?

UK Version

First, try to think of all the times in a day that have the same number three times in a row. There might be too many to remember, so use the Memo Function.

Ignore any angles that you would measure going from the minute hand to the hour hand.

Additionally, the largest angle is greater than 180 degrees, so you can disregard any angle you find that's less than that.

US Version

Are you sure you didn't miss some times? When you express the times in 24-hour format, you'll have more possibilities to consider than with a 12-hour format.

In addition to 11:11 and 22:22, there are 31 possible choices. If you didn't find that many already, you may have overlooked something. Try to relax and think about the problem again.

UK Version

Are you sure you didn't miss some times? When you express the times in 24-hour format, you'll have more possibilities to consider than with a 12-hour format. 00:00 to 00:09 have already been excluded. In addition to 11:11 and 22:22, there are now 31 times with three of the same digit in a row.

If you didn't find that many, you may have overlooked something. Try to relax and think about the problem again.

The following times that have three identical numbers in a row have an hour-hand-to-minute-hand angle of more than 180 degrees: 14:44, 15:55, 22:23 to 22:29, and 23:33.

Which of these times can be excluded because 12 lies inside the angle you measure? If you just think a little longer, you should get it.

Solution

Incorrect

Too bad!

Perhaps you overlooked something. Try reading the question again.

Correct

Correct!

The answer is 15:55. On an analog clock, 3:55 and 15:55 look the same, but only one has three identical digit!

The 24-hour clock didn't stump you!

@@ Line 14: / Line 14: @@
 Obviously, the angle between the hands in times like 00:01 and 00:09 is tiny, so you can ignore those form the start.
+|hint1=
-|hint1=First, try to think of all the times in a day that have the same number three times in a row. There might be too many to remember, so use the Memo function.{{p}}
+;US Version
+First, try to think of all the times in a day that have the same number three times in a row. There might be too many to remember, so use the Memo function.{{p}}
 Also, why would the puzzle note times like 00:01 or 00:09?
+;UK Version
+First, try to think of all the times in a day that have the same number three times in a row. There might be too many to remember, so use the Memo Function.
 |hint2=Ignore any angles that you would measure going from the minute hand to the hour hand.{{p}}
 Additionally, the largest angle is greater than 180 degrees, so you can disregard any angle you find that's less than that.
+|hint3=
-|hint3=Are you sure you didn't miss some times? When you express the times in 24-hour format, you'll have more possibilities to consider than with a 12-hour format.{{p}}
+;US Version
+Are you sure you didn't miss some times? When you express the times in 24-hour format, you'll have more possibilities to consider than with a 12-hour format.{{p}}
 In addition to 11:11 and 22:22, there are 31 possible choices. If you didn't find that many already, you may have overlooked something. Try to relax and think about the problem again.
+;UK Version
+Are you sure you didn't miss some times? When you express the times in 24-hour format, you'll have more possibilities to consider than with a 12-hour format. 00:00 to 00:09 have already been excluded. In addition to 11:11 and 22:22, there are now 31 times with three of the same digit in a row.{{p}}
+If you didn't find that many, you may have overlooked something. Try to relax and think about the problem again.
 |hintS=The following times that have three identical numbers in a row have an hour-hand-to-minute-hand angle of more than 180 degrees: 14:44, 15:55, 22:23 to 22:29, and 23:33.{{p}}
 Which of these times can be excluded because 12 lies inside the angle you measure? If you just think a little longer, you should get it.

v · d · ePuzzles in Professor Layton and the Last Specter

Normal	001 002 003 004 005 006 UK 007 008 009 010 011 012 013 014 015 016 017 018 019 020 021 022 023 024 025 026 027 028 029 030 031 032 033 034 035 036 037 038 039 040 041 042 043 044 045 046 047 048 049 050 051 052 053 054 055 056 057 058 059 060 061 062 063 064 065 066 067 068 069 070 071 072 073 074 075 076 077 078 079 080 081 082 083 084 085 086 087 088 089 090 091 092 093 094 095 096 097 098 099 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170

Weekly	See here for weekly puzzles.

Puzzle Index: CV · DB · UF · LS · MM · AL · VS