A methods and measurements analyst for Timepiece, Inc., needs to develop a time standard for the task of attaching a watch to a wristband. In a preliminary study, he observed one of his workers perform this task five times, with the following results: $$\begin{array} { l r r r r r }
\text { Observation } & 1 & 2 & 3 & 4 & 5 \
\hline \text { Time (seconds) } & 27 & 19 & 20 & 21 & 13
\end{array}$$ What is the standard time for this task if the employee worked at a 20 percent faster pace than average, and an allowance of 20s percent of job time is used?
A) 4.5 seconds
B) 5 seconds
C) 20 seconds
D) 28.8 seconds
E) 100 seconds

Question

A methods and measurements analyst for Timepiece, Inc., needs to develop a time standard for the task of attaching a watch to a wristband. In a preliminary study, he observed one of his workers perform this task five times, with the following results: $$\begin{array} { l r r r r r } 
\text { Observation } & 1 & 2 & 3 & 4 & 5 \
\hline \text { Time (seconds) } & 27 & 19 & 20 & 21 & 13
\end{array}$$ What is the standard time for this task if the employee worked at a 20 percent faster pace than average, and an allowance of 20s percent of job time is used?
A) 4.5 seconds
B) 5 seconds
C) 20 seconds
D) 28.8 seconds
E) 100 seconds

Quizplus · Accepted Answer

To find the standard time, we will take the average of the observed times and then adjust it for the 20% faster pace and the 20% allowance.

Average observed time:

$\frac{27+19+20+21+13}{5}=20$

Adjustment for 20% faster pace:

$20	imes 1.2=24$

Adjustment for 20% allowance:

$24	imes 1.2=28.8$

Therefore, the standard time for this task is 28.8 seconds.

The correct answer is D.