Last week Jack worked 70 hours and earned 1,260 do... | Free GMAT Practice Question | GMAT Panda

👋 Hi! I'm GMAT Panda. Ask me anything about this question, or click a button below to get started!

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 \frac{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?

Explanation	Calculations	Help
$We define the variable for Jack's regular hourly wage$	$r = Jack’s regular hourly wage$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate "earned his regular hourly wage for the first 40 hours" into 40 r$	$First 40 hours = 40 r$	Theory & Tactics Method Card TRANS1-B Click to view full details
$We translate $\textbf{"1\frac{1}{2} times his regular hourly wage for the next 20 hours"}$ into$	$Next 20 hours = 20 \times (1.5 r) = 30 r$	Theory & Tactics Method Card TRANS1-B Click to view full details
$We translate "2 times his regular hourly wage for the remaining 10 hours" into 10 \times (2 r)$	$Remaining 10 hours = 10 \times (2 r) = 20 r$	Theory & Tactics Method Card TRANS1-B Click to view full details
$We set the total earnings equal to "1,260 dollars"$	$40 r + 30 r + 20 r = 1260$	Theory & Tactics Method Card TRANS1-C Click to view full details
$We combine like terms and solve for r$	$90 r = 1260 r = \frac{1260}{90} = 14$	Theory & Tactics Method Card EQUA1-A Click to view full details

Scroll horizontally to view all columns

Jack's regular hourly wage was 14.00, corresponding to option B.

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 \frac{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?

Explanation	Calculations	Help
$We define the variable for Jack's regular hourly wage$	$r = Jack’s regular hourly wage$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate "earned his regular hourly wage for the first 40 hours" into 40 r$	$First 40 hours = 40 r$	Theory & Tactics Method Card TRANS1-B Click to view full details
$We translate $\textbf{"1\frac{1}{2} times his regular hourly wage for the next 20 hours"}$ into$	$Next 20 hours = 20 \times (1.5 r) = 30 r$	Theory & Tactics Method Card TRANS1-B Click to view full details
$We translate "2 times his regular hourly wage for the remaining 10 hours" into 10 \times (2 r)$	$Remaining 10 hours = 10 \times (2 r) = 20 r$	Theory & Tactics Method Card TRANS1-B Click to view full details
$We set the total earnings equal to "1,260 dollars"$	$40 r + 30 r + 20 r = 1260$	Theory & Tactics Method Card TRANS1-C Click to view full details
$We combine like terms and solve for r$	$90 r = 1260 r = \frac{1260}{90} = 14$	Theory & Tactics Method Card EQUA1-A Click to view full details

Scroll horizontally to view all columns

Jack's regular hourly wage was 14.00, corresponding to option B.