A quartermaster issues 1,050 uniform shirts to new recruits over the course of a 3-hour an… — Armed Services Vocational Aptitude Battery (ASVAB)

A quartermaster issues $1,050$ uniform shirts to new recruits over the course of a $3$ -hour and $30$ -minute processing block. Assuming a constant pace, what is the unit rate of shirts issued per minute?

Answer: 5 shirts per minute

Answer

The correct answer is 5 shirts per minute.

To find the unit rate in shirts per minute, the total time must first be converted entirely into minutes.

3

hours and

30

minutes is equal to

210

minutes. Dividing the total number of shirts (

1,050

) by the total number of minutes (

210

) results in exactly

5

shirts per minute.

Step-by-Step Solution

Convert the given time block into a single unit (minutes) to align with the question's requested rate.

3

hours and

30

minutes

= (3 \times 60) + 30 = 180 + 30 = 210

minutes.

The unit rate asked for is per minute, so the total time elapsed must be expressed in minutes.

Calculate the unit rate by dividing the total quantity by the total time in minutes.

1,050 \text{ shirts} \div 210 \text{ minutes} = 5 \text{ shirts per minute}

A unit rate compares a quantity to one unit of another quantity. Dividing the total items by the total minutes yields the number of items per single minute.

Key Concept

Calculating unit rates involving time conversion.

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