[tex]droga\ jaka\ Bartek\ pokonuje\ z\ domu\ do\ szkoly :\ s \\\\czas\,\ w\ jakim\ Bartek\ pokunuje\ droge\ z\ domu\ do\ szkoly:\\\\ t=8^{00}-7^{57}=3\ min=\frac{3}{60}h=\frac{1}{20}h \\\\predkosc\ jaka\ Bartek\ pokonuje\ droge\ z\ domu\ do\ szkoly : \ \ V\\\\V=\frac{s}{t}\\\\s=V*t \\\\ czas\,\ kiedy \ Bartek\ spozil\ sie\ do\ szkoly:\\\\t_{1}=3+2=5\ min=\frac{5}{60}h=\frac{1}{12} \ h[/tex]
[tex]predkosc\ w\ dniu\ kiedy\ sie\ spoznil:\\\\V_{1}=(V-5)\ \frac{km}{h} \\\\droga:\\\\s=V_{1}*t_{1}\\\\drogi\ sa\ rowne,\ wiec\\\\V*t=V_{1}*t_{1}\\\\V*\frac{1}{20}=(V-5)*\frac{1}{12}\ \ |*60\\\\3V=5(V-5)\\\\3V=5V-25[/tex]
[tex]3V-5V=-25\\\\-2V=-25\ \ |:(-2)\\\\V=12,5\frac{km}{h}\\\\s=V*t \\\\s=12,5*\frac{1}{20}=\frac{125}{10}*\frac{1}{20} =\frac{\not{25}^5}{2}*\frac{1}{\not{20}^4}=\frac{5}{8}=0,625\ \ km=625\ m\\\\\\odp.\ Bartek\ ma\ do\ szkoly\ 0,625\ km = 625 \ m .[/tex]