A combat engineer battalion is clearing debris from a damaged supply route. They are able … — Armed Services Vocational Aptitude Battery (ASVAB)

A combat engineer battalion is clearing debris from a damaged supply route. They are able to clear $1,800$ square feet of the route in $45$ minutes. Operating at this constant rate, what is the battalion's clearance rate in square feet per hour?

A
$40$
B
$1,350$
$2,400$ Answer
D
$4,000$

Answer

The correct clearance rate is

2,400

square feet per hour.

To find the hourly clearance rate, we can first determine the rate per minute:

1,800

square feet divided by

45

minutes gives

40

square feet per minute. Since there are

60

minutes in an hour, we multiply

40

60

to get

2,400

square feet per hour. Alternatively,

45

minutes is

0.75

hours, and

1,800 \div 0.75 = 2,400

Step-by-Step Solution

Find the unit rate per minute by dividing the total area cleared by the total minutes.

1,800 \div 45 = 40

square feet per minute

This establishes the base clearance rate in the provided time unit.

Convert the per-minute rate to a per-hour rate by multiplying by

60

40 \times 60 = 2,400

square feet per hour

There are

60

minutes in one hour, so multiplying the minute rate by

60

gives the hourly rate.

Key Concept

Calculating unit rates and performing necessary unit conversions.

Estimated Time:1m 0s

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