A military textile facility produces 1,200 combat uniform shirts over a standard 5-day wor… — Armed Services Vocational Aptitude Battery (ASVAB)

A military textile facility produces $1,200$ combat uniform shirts over a standard $5$ -day workweek. If the facility operates for a single $8$ -hour shift each day, what is the facility's production rate in shirts per hour?

$30$ Answer
B
$150$
C
$240$
D
$300$

Answer

The facility's production rate is

30

shirts per hour.

To find the hourly production rate, first determine the total hours worked by multiplying the number of days by the hours per shift (

5 \text{ days} \times 8 \text{ hours} = 40 \text{ hours}

). Then, divide the total production by the total hours (

1,200 \text{ shirts} \div 40 \text{ hours} = 30 \text{ shirts per hour}

Step-by-Step Solution

Calculate the total number of hours the facility operated.

5 \text{ days} \times 8 \text{ hours/day} = 40 \text{ hours}

To find the hourly rate, the total time must be expressed in hours.

Divide the total number of shirts produced by the total number of hours.

1,200 \div 40 = 30 \text{ shirts per hour}

Dividing total quantity by total time yields the unit rate.

Key Concept

Unit Rates and Time Conversions

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