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Problems
Contests
National and Regional Contests
USA Contests
MAA AMC
AMC 12/AHSME
1968 AMC 12/AHSME
32
32
Part of
1968 AMC 12/AHSME
Problems
(1)
1968 AMC 12 #32 - Moving Speeds
Source:
1/1/2012
A
A
A
and
B
B
B
move uniformly along two straight paths intersecting at right angles in point
O
O
O
. When
A
A
A
is at
O
O
O
,
B
B
B
is
500
500
500
yards short of
O
O
O
. In
2
2
2
minutes, they are equidistant from
O
O
O
, and in
8
8
8
minutes more they are again equidistant from
O
O
O
. Then the ratio of
A
′
A'
A
′
s speed to
B
′
B'
B
′
s speed is:
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
A
)
<
/
s
p
a
n
>
4
:
5
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
B
)
<
/
s
p
a
n
>
5
:
6
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
C
)
<
/
s
p
a
n
>
2
:
3
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
a
n
>
5
:
8
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
E
)
<
/
s
p
a
n
>
1
:
2
<span class='latex-bold'>(A)</span>\ 4:5 \qquad<span class='latex-bold'>(B)</span>\ 5:6 \qquad<span class='latex-bold'>(C)</span>\ 2:3 \qquad<span class='latex-bold'>(D)</span>\ 5:8 \qquad<span class='latex-bold'>(E)</span>\ 1:2
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
A
)
<
/
s
p
an
>
4
:
5
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
B
)
<
/
s
p
an
>
5
:
6
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
C
)
<
/
s
p
an
>
2
:
3
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
an
>
5
:
8
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
E
)
<
/
s
p
an
>
1
:
2
ratio
AMC