The snapback timing method was used in a direct time study of a task that includes a machine cycle. Elements A$,$ B$,$ C and D are performed by the operator, and element M is a machine semi$-$ automatic cycle. Element B is an internal element performed simultaneously with element M$,$ and element D is an irregular element performed once every $15$ cycles. Observed times and performance ratings are given in table below. The PFD allowance factor is $18\%$ and the machine allowance is $20\%.$ Determine $($a$)$ the normal time and $($b$)$ the standard time of the work cycle using an allowance factor of $15\%$