A time study was conducted to determine the length of time required to perform a task in a manufacturing process. The times required by approximately two-thirds of the workers in the study satisfied the inequality $$\left| \frac { t - 15.6 } { 1.6 } \right| \leq 1$$ where t is the time in minutes. What are the maximum and minimum times? Round your answer to one decimal place.
A)minimum time is $14$ minutes, maximum time is $15.6$ minutes
B)minimum time is $14$ minutes, maximum time is $17.2$ minutes
C)minimum time is $14$ minutes, maximum time is $17.9$ minutes
D)minimum time is $15.6$ minutes, maximum time is $17.2$ minutes
E)minimum time is $13.5$ minutes, maximum time is $17.2$ minutes

Question

Quizplus · Accepted Answer

Solving the inequality $\left| \frac { t - 15.6 } { 1.6 } \right| \leq 1$ gives us two inequalities: $ \frac { t - 15.6 } { 1.6 } \leq 1$ and $ \frac { t - 15.6 } { 1.6 } \geq -1$. Solving these gives $t \leq 17.2$ and $t \geq 14$, respectively. Therefore, the minimum time is 14 minutes and the maximum time is 17.2 minutes.

A Time Study Was Conducted to Determine the Length of Time