The gentleman farmer recorded the time it took to feed and water his chickens and collect eggs each morning.He has done this several times,so he assigns himself a rating of 1.25.The allowance factor for this endeavor is 5%.What is the standard time for this job element?
A)greater than or equal to 8.5 minutes
B)less than 8.5 minutes but greater than or equal to 8.0 minutes
C)less than 8.0 minutes but greater than or equal to 7.5 minutes
D)less than 7.5 minutes

Question

The gentleman farmer recorded the time it took to feed and water his chickens and collect eggs each morning.He has done this several times,so he assigns himself a rating of 1.25.The allowance factor for this endeavor is 5%.What is the standard time for this job element? 
A)greater than or equal to 8.5 minutes 
B)less than 8.5 minutes but greater than or equal to 8.0 minutes 
C)less than 8.0 minutes but greater than or equal to 7.5 minutes 
D)less than 7.5 minutes

Quizplus · Accepted Answer

To calculate the standard time, we need to divide the actual time by the rating factor and then multiply by 100.

Standard Time = (Actual Time / Rating Factor) x 100

Given, the rating factor is 1.25 and the allowance factor is 5%. Therefore,

Standard Time = (Actual Time / 1.25) x 100 / (100% + 5%) 
Standard Time = (Actual Time / 1.25) x 95.24

We know that the actual time is greater than or equal to the standard time because the rating factor is greater than 1.

Let's assume the standard time is T. Then,

T = (Actual Time / 1.25) x 95.24 
T = Actual Time x 76.19 / 100

Since the allowance factor is 5%, we know that the standard time should be less than or equal to 95% of the actual time. Therefore,

T <= Actual Time x 95 / 100

Substituting the above equation, we get:

Actual Time x 76.19 / 100 <= Actual Time x 95 / 100 
0.7619T <= 0.95T 
T <= 12.47

Therefore, the standard time for this job element is less than or equal to 12.47 minutes.

The answer choice that fits this range is C, which states that the standard time is less than 8.0 minutes but greater than or equal to 7.5 minutes.

The Gentleman Farmer Recorded the Time It Took to Feed