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 find the standard time, we need to calculate the normal time and then add the allowance factor.

1. Calculate the normal time for each element:
Element 1: (6.10/20) + (6.00/20) + (6.20/20) = 0.305 minutes
Element 2: (3.00/20) + (3.30/20) + (2.90/20) = 0.155 minutes
Element 3: (2.00/20) + (2.10/20) + (1.90/20) = 0.105 minutes
Element 4: (1.50/20) + (1.60/20) + (1.40/20) = 0.080 minutes
Element 5: (1.20/20) + (1.30/20) + (1.10/20) = 0.065 minutes

2. Calculate the total normal time:
Total normal time = 0.305 + 0.155 + 0.105 + 0.080 + 0.065 = 0.71 minutes

3. Add the allowance factor:
Standard time = Total normal time / (1 - Allowance factor) = 0.71 / (1 - 0.15) = 0.83 minutes = 2.712 minutes (rounded to 3 decimal places)

Therefore, the best choice is C.

As Part of a Time Study a Particular Job Was