Nyorera kupfuurira kweiyi ndima - Pasinei nokubudirira kwake naCooper, Brabham aiva nechokwadi chokuti aigona kuita zviri nani. Akafunga kutenga Cooper mukubatana naRoy Salvadori uyezve mukupera kwa1959 akakumbira shamwari yake Ron Tauranac kuti auye kuUK uye vashande naye, vachigadzira makiti ekuvandudza eSunbeam Rapier neTriumph Herald mota dzemumugwagwa pakutengesa kwake mota, Jack Brabham Motors, asi nechinangwa chenguva refu chekugadzira mota dzemitambo. Brabham akaramba achityaira Cooper, asi parwendo rurefu rwekudzoka kubva kuArgentina Grand Prix yekutanga mwaka wa1960, aive nemoyo-kune-mwoyo naJohn Cooper. Baba vaJohn Charlie nomugadziri Owen Maddock vakanga vasingadi kuvandudza motokari yavo, asi kunyange zvazvo Cooper yakanga yakunda muArgentina, dzimwe motokari dzakanga dzichimhanya zvikuru dzisati dzaparara. Brabham akabatsira kugadzira Cooper T53 yakanyanya kufambira mberi, kusanganisira zano kubva kuTauranac. Brabham akaburitsa motokari itsva mumakwikwi akatevera, Monaco Grand Prix, asi akabva atanga nhevedzano yekukunda kashanu kwakatevedzana. Akakunda kubva kumberi kuDutch, French, neBelgian Grands Prix, uko mukwikwidzi wemutambo Moss akakuvara zvakaipisisa mutsaona yekudzidzira yakamuisa kunze kwemwedzi miviri. Vamwe vatyairi vaviri vakaurawa munhangemutange yacho. MuBritain Grand Prix
, Brabham akanga ava pedyo neBRM yaGraham Hill Hill isati yadzokera, ichisiya Brabham kukunda. Akabva adzoka kubva panzvimbo yechisere kusvika yechipiri paPortuguese Grand Prix pashure pokutsvedza pamitsetse yetram ndokuhwina pashure pokunge mutungamiri womujaho John Surtees awira. Nhamba yaBrabham yemapoinzi yakaiswa isingasvikiki apo zvikwata zveBritain zvakabva muItaly GP nokuda kwezvikonzero zvekuchengeteka. Mike Lawrence anonyora kuti unyanzvi hwaBrabham mukugadzira motokari dzaiva chinhu chinokosha muCoper's 1960 vatyairi uye vagadziri mazita.