25. Solving a chemistry problem

19. The kinetics of high-temperature decomposition of acetic acid corresponds to the kinetics of a parallel first-order reaction. The reaction scheme is as follows:
CH3COOH=CH4CO2 (k1)
CH3COOH=CH2CO H2O (k2)
The half-life of the acid is 0.10 s, and the ratio of the number of moles of methane formed in the first stage to the number of moles of ketene formed in the second stage at the same time is 0.59. Calculate the value of the rate constants for each of the reaction steps and the total rate constant of the process.