## 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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A

B

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D

E

## Global Stats

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 Legendary Member Posts: 2101 Joined: 29 Oct 2017 Followed by:6 members ### 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 ## Timer 00:00 ## Your Answer A B C D E ## Global Stats 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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