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Question

Difficulty: EasyUnit Rates

A civilian contractor works 55 days a week for 88 hours each day on a military base. If the contractor earns $840\$840 for the entire week, what is the contractor's hourly wage?

  1. \$21Answer
  2. B
    \$105
  3. C
    \$168
  4. D
    \$210

Answer

The contractor's hourly wage is $21\$21.
The total number of hours worked in the week is found by multiplying the 55 days by 88 hours per day, which equals 4040 hours. The hourly wage is then calculated by dividing the total weekly earnings by the total hours worked: $840÷40=$21\$840 \div 40 = \$21 per hour.

Step-by-Step Solution

1
Calculate the total number of hours the contractor works in the week.
5 days×8 hours/day=40 hours5 \text{ days} \times 8 \text{ hours/day} = 40 \text{ hours}
To find the hourly wage, the total earnings must be divided by the total hours worked.
2
Divide the total weekly earnings by the total hours worked to find the hourly wage.
$840÷40 hours=$21 per hour\$840 \div 40 \text{ hours} = \$21 \text{ per hour}
The unit rate (hourly wage) is the ratio of total pay to total time.

Key Concept

Calculating a unit rate by determining the total quantity (hours) and dividing the total amount (earnings) by that quantity.
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Topics

Unit Rates

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