As part of a time study a particular job was analyzed. The study included 20 job cycles and the following cumulative times and performance rating factors for each element were reported: Assuming an allowance factor of 15%, the standard time for this job would be
A) 4.35 minutes.
B) 3.67 minutes.
C) 2.712 minutes.
D) 2.358 minutes.

Question

As part of a time study a particular job was analyzed. The study included 20 job cycles and the following cumulative times and performance rating factors for each element were reported:  Assuming an allowance factor of 15%, the standard time for this job would be
A) 4.35 minutes. 
B) 3.67 minutes. 
C) 2.712 minutes. 
D) 2.358 minutes.

Quizplus · Accepted Answer

To calculate the standard time for the job, we need to first find the normal time for each element by dividing the cumulative time by the number of cycles (20). Then, we need to multiply the normal time of each element by its performance rating factor to get the elemental time. Finally, we add up all the elemental times to get the total standard time.

Normal time for each element:
Element A = (81.2 / 20) = 4.06 seconds
Element B = (102 / 20) = 5.1 seconds
Element C = (75.5 / 20) = 3.77 seconds
Element D = (49.3 / 20) = 2.46 seconds
Element E = (59.5 / 20) = 2.98 seconds

Elemental time for each element:
Element A = 4.06 x 1.2 = 4.87 seconds
Element B = 5.1 x 1.1 = 5.61 seconds
Element C = 3.77 x 0.9 = 3.39 seconds
Element D = 2.46 x 1.0 = 2.46 seconds
Element E = 2.98 x 1.1 = 3.28 seconds

Total standard time = 4.87 + 5.61 + 3.39 + 2.46 + 3.28 = 19.61 seconds
Applying the allowance factor of 15%, we get:
Standard time = 19.61 x 1.15 = 22.55 seconds
Converting to minutes, we get:
Standard time = 22.55 / 60 = 0.3759 minutes or 2.712 seconds.

Thus, the best choice is C.

As Part of a Time Study a Particular Job Was