Problem

10. Phil has completed $1 / 4$ of his shift; Darren has completed $3 / 7$ of his shift; Alice has finished $1 / 8$ of her shift; Lisa has $1 / 5$ of her shift remaining. Out of the four employees, who has completed the least work time?
A. Phil
B. Lisa
C. Darren
D. Alice

Answer

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Answer

Final Answer: The employee who has completed the least work time is \(\boxed{\text{D. Alice}}\).

Steps

Step 1 :Given that Phil has completed \(\frac{1}{4}\) of his shift, Darren has completed \(\frac{3}{7}\) of his shift, Alice has finished \(\frac{1}{8}\) of her shift, and Lisa has \(\frac{1}{5}\) of her shift remaining.

Step 2 :First, we need to find out how much of her shift Lisa has completed. Since we know she has \(\frac{1}{5}\) of her shift remaining, we subtract this from 1 to find the completed fraction. So, Lisa has completed \(1 - \frac{1}{5} = \frac{4}{5}\) of her shift.

Step 3 :Now, we compare the fractions of the shifts that each employee has completed: Phil's \(\frac{1}{4}\), Darren's \(\frac{3}{7}\), Alice's \(\frac{1}{8}\), and Lisa's \(\frac{4}{5}\).

Step 4 :By comparing these fractions, we find that Alice has completed the least work time, as \(\frac{1}{8}\) is the smallest fraction.

Step 5 :Final Answer: The employee who has completed the least work time is \(\boxed{\text{D. Alice}}\).

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