Last week Jack worked 70 hours and earned 1,260 dollars. If he earned his regular hourly wage for the first 40 hours worked, 1 1/2 times his regular hourly wage for the next 20 hours worked, and 2 times his regular hourly wage for the remaining 10 hours worked, what was his regular hourly wage?

Question

GMAT Panda · Accepted Answer

14.00 dollars per hour (B). We define the variable for Jack's regular hourly wage

Answer

7.00 dollars per hour (A)

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14.00 dollars per hour (B)

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18.00 dollars per hour (C)

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22.00 dollars per hour (D)

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31.50 dollars per hour (E)

Explanation	Calculations	Help
$We define the variable for Jack's regular hourly wage$	$r = Jack’s regular hourly wage$
$We translate "earned his regular hourly wage for the first 40 hours" into 40 r$	$First 40 hours = 40 r$
$We translate " 1 \frac{1}{2} times his regular hourly wage for the next 20 hours" into 20 \times (1.5 r)$	$Next 20 hours = 20 \times (1.5 r) = 30 r$
$We translate "2 times his regular hourly wage for the remaining 10 hours" into 10 \times (2 r)$	$Remaining 10 hours = 10 \times (2 r) = 20 r$
$We set the total earnings equal to "1,260 dollars"$	$40 r + 30 r + 20 r = 1260$
$We combine like terms and solve for r$	$90 r = 1260 r = \frac{1260}{90} = 14$

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