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Peter works as a teaching assistant and gets paid on a weekly basis. He gets paid D dollars per hour for the first 30

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Peter works as a teaching assistant and gets paid on a weekly basis. He gets paid D dollars per hour for the first 30

by BTGmoderatorDC » Sat Mar 05, 2022 6:47 pm

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Peter works as a teaching assistant and gets paid on a weekly basis. He gets paid D dollars per hour for the first 30 hours and (D+ 10) dollars per hour for the hours worked in excess of 30 hours. What is the value of D?

(1) Last week Peter worked for 32 hours.
(2) Peter got paid $8(D+10) more if worked for 40 hours instead of 32 hours.


OA E

source: e-GMAT
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Source: — Data Sufficiency |
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Re: Peter works as a teaching assistant and gets paid on a weekly basis. He gets paid D dollars per hour for the first 3

by swerve » Sun Mar 06, 2022 5:59 am

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BTGmoderatorDC wrote: ↑
Sat Mar 05, 2022 6:47 pm
 Peter works as a teaching assistant and gets paid on a weekly basis. He gets paid D dollars per hour for the first 30 hours and (D+ 10) dollars per hour for the hours worked in excess of 30 hours. What is the value of D?

(1) Last week Peter worked for 32 hours.
(2) Peter got paid $8(D+10) more if worked for 40 hours instead of 32 hours.


OA E

source: e-GMAT
We need to find \(D=?\)

Statement 1:
Total payment of \(32\) hours \(= 30 \times D+(D+10) \times (32-30)=32D+20\)
No information given about total payment. Not Sufficient \(\Large{\color{red}\chi}\)

Statement 2:
Given \(8X(D+10)=\) payment for \(40\) hours \(-\) payment for \(32\) hours \(=[30D+(D+10)(40-30)]-[32D+20]\)
\(8(D+10)=8(D+10)\) Not Sufficient \(\Large{\color{red}\chi}\)

Combining \(1 \&2\), no new information, hence not sufficient. \(\Large{\color{red}\chi}\)

Therefore, E
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