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
Peter works as a teaching assistant and gets paid on a weekly basis. He gets paid D dollars per hour for the first 30
This topic has expert replies
-
- Moderator
- Posts: 7187
- Joined: Thu Sep 07, 2017 4:43 pm
- Followed by:23 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
We need to find \(D=?\)BTGmoderatorDC wrote: ↑Sat Mar 05, 2022 6:47 pmPeter 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
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