A military detail fills 300 sandbags in 150 minutes. What is the constant rate at which th… — Armed Services Vocational Aptitude Battery (ASVAB)

A military detail fills $300$ sandbags in $150$ minutes. What is the constant rate at which the detail fills the sandbags, in sandbags per hour?

120

The unit rate is found by first converting the time into hours (

150

minutes is

2.5

hours) and then dividing the total quantity (

300

sandbags) by this time, resulting in

120

sandbags per hour.

Convert the total time from minutes to hours.

150 \text{ minutes} \div 60 \text{ minutes/hour} = 2.5 \text{ hours}

The requested unit rate is in sandbags per hour, so the time must be expressed in hours.

Calculate the unit rate by dividing the total number of sandbags by the total time in hours.

300 \text{ sandbags} \div 2.5 \text{ hours} = 120 \text{ sandbags per hour}

A unit rate represents the quantity produced per single unit of time.

Calculating unit rates with time conversion

Question