We show that the galactic cosmic ray source (GCRS) composition is described
within a factor of similar to 1.6 as a mixture of fresh ejects of Type Ia
(SNIa) and Type II (SNII) supernovae, the interstellar matter (ISM) which i
s swept up by the ejecta, and Wolf-Rayet stellar wind material (WR). The be
st mixing ratios of the four source materials are determined on the basis o
f the recent nucleosynthetic models of supernovae. The frequency of occurre
nce of SNIa relative to SNII and the acceleration time of the GCRs after th
e SNe explosion are estimated with the best mixing ratios to be similar to
0.43 and similar to 10(3) y respectively. The profound implications of our
findings are discussed with respect to the acceleration of the GCRs in SN r
emnants.