A time study was conducted on a job that contains four elements. The observed ti
ID: 387677 • Letter: A
Question
A time study was conducted on a job that contains four elements. The observed times and performance ratings for six cycles are shown in the following table.
a. Determine the average cycle time for each element. (Round your answers to 3 decimal places.)
b. Find the normal time for each element. (Round your answers to 3 decimal places.)
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c. Assuming an allowance factor of 6 percent of job time, compute the standard time for this job. (Round your answers to 3 decimal places.)
Rating 1 2 3 4 5 6 1 85 % 0.36 0.41 0.31 0.31 0.31 0.31 2 80 1.36 1.36 1.31 1.31 1.31 1.36 3 105 0.71 0.71 0.61 0.66 0.71 0.66 4 90 0.96 1.01 0.96 1.01 1.01 1.06
Explanation / Answer
Ans a)
Average cycle time for element 1 = (0.36 + 0.41 + 0.31 + 0.31 + 0.31 + 0.31) / 6 = 0.335 minutes
Average cycle time for element 2 = (1.36 + 1.36 + 1.31 + 1.31 + 1.31 + 1.36) / 6 = 1.335 minutes
Average cycle time for element 3 = (0.71 + 0.71 + 0.61 + 0.66 + 0.71 + 0.66) / 6 = 0.677 minutes
Average cycle time for element 4 = (0.96 + 1.01 + 0.96 + 1.01 + 1.01 + 1.06) / 6 = 1.002 minutes
Ans b)
Normal time = Average element time * (Performance rating / 100)
Normal time for element 1 = 0.335 * (85/100) = 0.285 minutes
Normal time for element 2 = 1.335 * (80/100) = 1.068 minutes
Normal time for element 3 = 0.677 * (105/100) = 0.711 minutes
Normal time for element 4 = 1.002 * (90/100) = 0.902 minutes
Ans c)
Standard time = Normal time / ( 1 - Allowance fraction)
Allowance fraction = 6% or 0.06
Standard time for element 1 = 0.285 / ( 1 - 0.06) = 0.303 minutes
Standard time for element 2 = 1.068 / ( 1 - 0.06) = 1.136 minutes
Standard time for element 3 = 0.711 / ( 1 - 0.06) = 0.756 minutes
Standard time for element 4 = 0.902 / ( 1 - 0.06) = 0.960 minutes
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