What is the standard time (ST) for this task if the bartender worked at a twenty percent faster pace than is average, and an allowance of twenty percent of the workday is used?
A)112.5 seconds
B)120 seconds
C)135 seconds
D)144 seconds
E)150 seconds

Question

Quizplus · Accepted Answer

Let the standard time be x seconds. 
If the bartender worked at 20% faster pace, the effective time he takes is 80% of x seconds. 
So, his effective time is 0.8x seconds. 
Now, an allowance of 20% of the workday is used, which means only 80% of the time is actually used. 
So, the actual time taken by the bartender is 0.8x * 80% = 0.64x seconds. 
We need to find x. 
0.64x = 135 
x = 135/0.64 = 210.94 seconds, which when rounded off to the nearest second is 211 seconds, or 3 minutes 31 seconds. 
So, the standard time is 211 seconds, which is closest to option C) 135 seconds.

What Is the Standard Time (ST) for This Task If