NEW HERE? LEARN MORE
closeclose
Last visit was: 30 Apr 2024, 16:20 It is currently 30 Apr 2024, 16:20
Decision Tracker
My Rewards
New posts
New comers' posts

Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

What were the total wages of a person who worked last week for 40 hour

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 93034
Own Kudos [?]: 620284 [0]
Given Kudos: 81694
Send PM
CAT Tests Forum Quiz Mode
What were the total wages of a person who worked last week for 40 hour [#permalink] New post   15 Aug 2019, 06:47
Expert Reply
00:00
A
B
C
D
E

Difficulty:

15% (low)

Question Stats:

83% (01:00) correct 17% (00:45) wrong based on 36 sessions
Hide Show timer Statistics
What were the total wages of a person who worked last week for 40 hours, some of which were compensated at a normal hourly rate and the remainder of which were compensated at an overtime rate?

(1) The number of hours worked at the normal rate was 3/4 of the total number of hours the employee worked.

(2) The overtime rate was $25 per hour.
ShowHide Answer
Official Answer
E
User avatar
L
Archit3110
GMAT Club Legend
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 8023
Own Kudos [?]: 4103 [0]
Given Kudos: 242
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Send PM
GMAT ToolKit User
Re: What were the total wages of a person who worked last week for 40 hour [#permalink] New post   15 Aug 2019, 10:16
Bunuel wrote:
What were the total wages of a person who worked last week for 40 hours, some of which were compensated at a normal hourly rate and the remainder of which were compensated at an overtime rate?

(1) The number of hours worked at the normal rate was 3/4 of the total number of hours the employee worked.

(2) The overtime rate was $25 per hour.



#1
total over time hrs ; 10 and normal 30 hrs
but hourly rate not given
insufficient
#2
over time rate 25 $ ; time duration over rate hrs not given
insufficient
from 1&2
overtime money ; 250 $ but normal hrs rate is not given insufficient
IMO E
User avatar
L
Kinshook
GMAT Club Legend
GMAT Club Legend
Joined: 03 Jun 2019
Posts: 5345
Own Kudos [?]: 3976 [0]
Given Kudos: 160
Location: India
Schools: HBS '22 CBS '22 Wharton '22
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Send PM
Reviews Badge
Re: What were the total wages of a person who worked last week for 40 hour [#permalink] New post   15 Aug 2019, 10:43
Bunuel wrote:
What were the total wages of a person who worked last week for 40 hours, some of which were compensated at a normal hourly rate and the remainder of which were compensated at an overtime rate?

(1) The number of hours worked at the normal rate was 3/4 of the total number of hours the employee worked.

(2) The overtime rate was $25 per hour.



Asked: What were the total wages of a person who worked last week for 40 hours, some of which were compensated at a normal hourly rate and the remainder of which were compensated at an overtime rate?

(1) The number of hours worked at the normal rate was 3/4 of the total number of hours the employee worked.
The number of hours worked at the normal rate = 3/4 *40 = 30 hours
The number of hours worked at the overtime rate = 40 -30 = 10 hours
Since normal rate and overtime rates are not known
NOT SUFFICIENT

(2) The overtime rate was $25 per hour.
Since number of hours of normal rate , number of hours of overtime rates & normal rates are not provided.
NOT SUFFICIENT

Combining (1) & (2)
(1) The number of hours worked at the normal rate was 3/4 of the total number of hours the employee worked.
The number of hours worked at the normal rate = 3/4 *40 = 30 hours
The number of hours worked at the overtime rate = 40 -30 = 10 hours
(2) The overtime rate was $25 per hour.
Still normal rate is not provided.
NOT SUFFICIENT

IMO E
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 93034
Own Kudos [?]: 620284 [0]
Given Kudos: 81694
Send PM
CAT Tests Forum Quiz Mode
Re: What were the total wages of a person who worked last week for 40 hour [#permalink] New post   17 Sep 2019, 04:32
Expert Reply
Bunuel wrote:
What were the total wages of a person who worked last week for 40 hours, some of which were compensated at a normal hourly rate and the remainder of which were compensated at an overtime rate?

(1) The number of hours worked at the normal rate was 3/4 of the total number of hours the employee worked.

(2) The overtime rate was $25 per hour.


Official Explanation



The wages that we are looking for can be described algebraically as

\(TR_1 + (40 - T)R_2\)

Where T is the number of hours worked at the normal rate, R1 is the normal rate, and R2 is the overtime rate. We will probably need to get values for all three of these variables to have sufficient information. On to the statements, separately first.

Statement (1) allows us to determine T: it's 30. However, we know neither rate--they could be $1 per hour or a million dollars per hour. Insufficient.

Statement (2) tells us one of the rates, but we don't know the other rate or the value of T in this case. Insufficient.

And when we combine the statements, we still don't know the value of the regular rate. It could be $1 per hour, or $20 per hour, yielding different results.

The correct answer is (E).
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 93034
Own Kudos [?]: 620284 [0]
Given Kudos: 81694
Send PM
CAT Tests Forum Quiz Mode
Re: What were the total wages of a person who worked last week for 40 hour [#permalink] New post   17 Sep 2019, 04:35
Expert Reply
Bunuel wrote:
What were the total wages of a person who worked last week for 40 hours, some of which were compensated at a normal hourly rate and the remainder of which were compensated at an overtime rate?

(1) The number of hours worked at the normal rate was 3/4 of the total number of hours the employee worked.

(2) The overtime rate was $25 per hour.


Video Explanation



GMAT Club Bot
gmatclubot
Re: What were the total wages of a person who worked last week for 40 hour [#permalink]
17 Sep 2019, 04:35
Moderator:
Bunuel
Math Expert
93034 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions