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Problems
Contests
National and Regional Contests
USA Contests
MAA AMC
AMC 12/AHSME
1962 AMC 12/AHSME
35
35
Part of
1962 AMC 12/AHSME
Problems
(1)
Angle Measure on a Clock
Source:
3/3/2010
A man on his way to dinner short after
6
:
00
6: 00
6
:
00
p.m. observes that the hands of his watch form an angle of
11
0
∘
.
110^{\circ}.
11
0
∘
.
Returning before
7
:
00
7: 00
7
:
00
p.m. he notices that again the hands of his watch form an angle of
11
0
∘
.
110^{\circ}.
11
0
∘
.
The number of minutes that he has been away is:
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
A
)
<
/
s
p
a
n
>
36
2
3
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
B
)
<
/
s
p
a
n
>
40
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
C
)
<
/
s
p
a
n
>
42
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
a
n
>
42.4
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
E
)
<
/
s
p
a
n
>
45
<span class='latex-bold'>(A)</span>\ 36 \frac23 \qquad <span class='latex-bold'>(B)</span>\ 40 \qquad <span class='latex-bold'>(C)</span>\ 42 \qquad <span class='latex-bold'>(D)</span>\ 42.4 \qquad <span class='latex-bold'>(E)</span>\ 45
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
A
)
<
/
s
p
an
>
36
3
2
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
B
)
<
/
s
p
an
>
40
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
C
)
<
/
s
p
an
>
42
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
an
>
42.4
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
E
)
<
/
s
p
an
>
45