A worker-machine operation was found to involve 3.4 minutes of machine time per cycle in the course of 40 cycles of stopwatch study. The worker’s time averaged 1.9 minutes per cycle, and the worker was given a rating of 109 percent (machine rating is 100 percent). Midway through the study, the worker took a 10-minute rest break. Assuming an allowance percentage of 9 percent of work time which is applied only to the worker element (not the machine element), determine the standard time for this job. (Do not round intermediate calculations. Round your final answer to 2 decimal places.)

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Step-by-step explanation:

Statement                                                               Reason

1.∠1 and ∠2 are supplementary angles     ---           Given  

2. m∠1 + m∠2 = 180°     ---                  Linear pair, they are supplementary                                

3. m∠1  and m∠3 are supplementary angles --  m∠1 + m∠3= 180

                                                                              (Supplementary angles add upto 180 degrees)  

4.  m∠1 and m∠3                                           Exterior sides in opposite rays

5.   m∠1 + m∠2 = m∠1 + m∠3                         Transitive property  

6.    m∠2 = m∠3                                    Subtraction  property

7.   l || m   If two lines are cut by transversal the alternative interior

                               angles are the same, then the lines are paralle.

Thank you.