15gi su \(v1>v2\). \(\Rightarrow\left\{{}\begin{matrix}v1+v2=\dfrac{25}{\dfrac{15}{60}}=100\\v1-v2=\dfrac{5}{\dfrac{15}{60}}=20\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}v1=60km/h\\v2=40km/h\end{matrix}\right.\)
16. a, \(\Rightarrow\left\{{}\begin{matrix}S1=54t\left(km\right)\\S2=36t\left(km\right)\end{matrix}\right.\)
chon chieu (+) la chieu chuyen dong 2xe , goc tgian tai 8h
\(\Rightarrow\left\{{}\begin{matrix}x1=54t\\x2=9+36t\end{matrix}\right.\)
b,
c, can cu do thi =>vi tri oto duoi kip xe may cach A: 27km
luc gap nhau la luc 8h30'
ktra lai: \(\Rightarrow x1=x2\Rightarrow t=0,5h\Rightarrow x1=0,5.54=27\)
(gap nhau luc 8h30')
17. chon \(Ox\equiv AB,O\equiv A\), goc tgian luc 7h, chieu(+) tu A->B
a,\(\Rightarrow\left\{{}\begin{matrix}xA=40t\\xB=340-60\left(t-1\right)\end{matrix}\right.\)
b,\(\Rightarrow xA=xB\Rightarrow t=4h\)
=>vi tri gap nhau cach A: \(S=xA=40.4=160km\)
c,\(\Rightarrow d=\left|40t-340+60\left(t-1\right)\right|=\left|40.2,5-340+60\left(2,5-1\right)\right|=150km\)
d,\(\Rightarrow\left|40t-340+60\left(t-1\right)\right|=75\Rightarrow\left[{}\begin{matrix}t=4,75h\\t=3,25h\end{matrix}\right.\)
