 Nyorai kupfuurira kweiyi ndima - Kubva muna 1979 kusvika muna 1981, Unser akamhanya mumakwikwi eCART nokuda kweChikwata chePenske. Roger Penske aida mukundi akaratidzwa kuti abatane nomutyairi wake muduku Rick Mears. Unser akakunda kasere kuna Mears katatu asi Mears akakunda mukwikwidzi uye Indy 500. Muna 1980 akava mutyairi wokutanga kukunda muCalifornia 500 kanokwana kana. Unser akakunda kanokwana kana muna 1980 uye akapedza wechipiri mumakwikwi emwaka kuna Johnny Rutherford. Basa rake rakaguma muna 1981 pashure pokukunda kunopesana muIndianapolis. 