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Mathematics
Problem
Runner
P
P
P
starts at
t
=
0
t=0
t
=
0
with position
x
P
(
t
)
=
4
t
x_P(t)=4t
x
P
(
t
)
=
4
t
meters. Runner
Q
Q
Q
starts from the same point
2
2
2
seconds later and thereafter moves with position
x
Q
(
t
)
=
6
(
t
−
2
)
x_Q(t)=6(t-2)
x
Q
(
t
)
=
6
(
t
−
2
)
meters for
t
≥
2
t\ge 2
t
≥
2
. For
t
≥
2
t\ge 2
t
≥
2
, at what time do the runners meet? a)
5
s
5\,\text{s}
5
s
b)
4
s
4\,\text{s}
4
s
c)
6
s
6\,\text{s}
6
s
d)
8
s
8\,\text{s}
8
s
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