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Answer:
Her net rate of pay in dollars per hour after the expense = $26
Step-by-step explanation:
Given:
Driver travels for 2 hours.
Speed = 60 miles per hour
Her car runs at the rate of 30 miles per gallon of gasoline.
She is paid $0.50 per mile.
Expenses is price of gasoline at the rate of $2.00 per gallon.
To find her net rate of pay in dollars per hour.
Solution:
In one hour the driver travels = 60 miles
For each mile she is paid = $0.50
So, for 60 miles she will be paid = [tex]60\times \$0.50 = \$30[/tex]
In a gallon of gasoline the car travels = 30 miles
So, to travel 60 miles, the car would require = [tex]\frac{60}{30}= 2[/tex] gallons of gasoline
1 gallon of gasoline cost = $2.00
Expenses for 2 gallons of gasoline = [tex]2\times \$2.00=\$4[/tex]
So, in one hour she gets paid =$30 and her expenses for an hour drive = $4.
Thus, her net rate of pay in dollars per hour after the expense = [tex]\$30-\$4=\$26[/tex]
The net pay is given by the difference between the total pay and the
expenses.
- The net rate of pay of the driver is $13 per hour.
Reasons:
Number of hours of driving = 2 hours
Speed of travel = 60 mph
Distance traveled per gallon of gasoline = 30 miles
Amount she is paid per mile = $0.50
Expense = $2.00 per gallon gasoline
Required:
Her net rate of pay per hour after expenses
Solution:
- [tex]\displaystyle Amount \ of \ gasoline \ required = \mathbf{\frac{60 \ miles}{30 \ miles/gallon}} = 2 \ gallons[/tex]
Cost of the gasoline = 2 gallons × $2/gallon = $4.00
Total amount paid = 60 miles × $0.50/mile = $30.00
- Net pay = Amount paid less expenses = $30.00 - $4.00 = $26.00
- [tex]\displaystyle Net \ rate = \mathbf{\frac{Net \ pay}{Number \ of \ hours}} = \frac{\$26.00}{2 \ hours} = \$13 \ per \ hour[/tex]
- Her net rate of pay is $13 per hour.
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