From 1919 to 1923 he studied at the Prague Conservatory with Josef Bohuslav Foerster, Karel Boleslav Jirák, and Jaroslav Křička.
In 1928 Řídký attended as a conductor the premiere of Leoš Janáček´s chamber composition Capriccio.
He composed seven symphonies and one sinfonietta, one string serenade, concertos for violin (1), piano (1), and cello (2), chamber music, pieces for piano, cantatas, and also prepared his own arrangements of folk songs.
Řídký composed also violin, piano and two violoncello concertos.
In 1954 he was awarded National Prize for his Piano Concerto Op.