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Dwa samochody wyruszyły naprzeciw siebie z miast A i B odległych o 210 km i poruszają się ze stałymi szybkościami VA iVB. W chwili spotkania t0 pierwszy z nich ma jeszcze 2h jazdy zanim dotrze do B, a drugi 9/8h jazdy do miasta A. Obliczyć szybkość drugiego samochodu.
Jeśli dystans jest w podany w jednostkach km a czas w h, to umawiamy się, że szybkości będą wyrażone w km/h i pomijamy w równaniach jednostki.
Od momentu mijania się dwóch samochodów, łącznie muszą przebyć cały dystans A-B, czyli:
Z równości czasu dla każdego kierowcy, mamy:
Pamiętając, że S0B oraz S0A są to brakujące dystanse dla kierowców A i B do dotarcia do odpowiednio B i A w chwili mijania, możemy napisać:
Mamy zatem układ dwóch równań:
Rozwiązując układ otrzymujemy:
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Jak rozwiązać ten układ równań
Skorzystaj ze wzoru v=s/t, gdzie s(droga) to będzie podwojony dystans do ściany (trasa tam i z powrotem). Pamiętaj o zamianie jednostek.
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