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A certain employee is paid $6 per hour for an 8-hour workday. If the e

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Tough and Tricky questions: Word Problems.



A certain employee is paid $6 per hour for an 8-hour workday. If the employee is paid 3/2 times this rate for time worked in excess of 8 hours during a single day, how many hours did the employee work today?

(1) The employee was paid $18 more for hours worked today than for hours worked yesterday.
(2) Yesterday the employee worked 8 hours.

Kudos for a correct solution.
[Reveal] Spoiler: OA

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Re: A certain employee is paid $6 per hour for an 8-hour workday. If the e [#permalink]

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A certain employee is paid $6 per hour for an 8-hour workday. If the employee is paid 3/2 times this rate for time worked in excess of 8 hours during a single day, how many hours did the employee work today?

Statement 1: The employee was paid $18 more for hours worked today than for hours worked yesterday
We don't know the number of hours employee worked yesterday -- Insufficient

Statement 2: Yesterday the employee worked 8 hours
We don't know the relationship between yesterday & today -- Insufficient

Combining 1&2:
6*8 + 6*(3/2)*x = 6*8 + 18
x = 2
Two statements together are sufficient, Answer C
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Re: A certain employee is paid $6 per hour for an 8-hour workday. If the e [#permalink]

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New post 22 Dec 2014, 20:12
Synthesizing the question 6$/hr normal and 9$/hr for overtime paid after 8hrs of work in a day.

Looking at (1) employee got 18$ which could mean that employee worked for 5 hours today and 2 hours yesterday or 2 hours additional overtime etc. Hence N.S

Looking at (2) employee worked for 8 hrs hence no overtime however nothing about how many hours we worked today so N.S.

Combining both since the employee worked 8 hrs yesterday today to get 18$ more he or she worked overtime for 2 hrs. Hence Answer is C.

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Re: A certain employee is paid $6 per hour for an 8-hour workday. If the e [#permalink]

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New post 23 Dec 2014, 06:22
Bunuel wrote:

Tough and Tricky questions: Word Problems.



A certain employee is paid $6 per hour for an 8-hour workday. If the employee is paid 3/2 times this rate for time worked in excess of 8 hours during a single day, how many hours did the employee work today?

(1) The employee was paid $18 more for hours worked today than for hours worked yesterday.
(2) Yesterday the employee worked 8 hours.

Kudos for a correct solution.


Normal hours - $6/hr. Overtime - 3/2*6 = $9/hr

St-1, $18 more than yesterday. --> If overtime it is two hours (18/9) more than yesterday. If normal time it is three hours (18/6) more than yesterday. Still no of hours for the day is not available. So not sufficient

St-2, only yesterday's hours are available. Full normal time hours - 8. Clearly not sufficient.

Combining 1 + 2, extra hours will be overtime so 2 hours more than yesterday. Sufficient

Ans - C

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Re: A certain employee is paid $6 per hour for an 8-hour workday. If the e [#permalink]

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New post 23 Dec 2014, 11:49
Bunuel wrote:

Tough and Tricky questions: Word Problems.



A certain employee is paid $6 per hour for an 8-hour workday. If the employee is paid 3/2 times this rate for time worked in excess of 8 hours during a single day, how many hours did the employee work today?

(1) The employee was paid $18 more for hours worked today than for hours worked yesterday.
(2) Yesterday the employee worked 8 hours.

Kudos for a correct solution.



1: We don't know the hours worked on yesterday - Not sufficient
2: We need to find out the hours worked on today not yesterday - Not sufficient

combine both: Hours worked yesterday: 8 hours(48$) Total salary today is 48+18 = $66 from this we can find the hours worked

ANS C
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Re: A certain employee is paid $6 per hour for an 8-hour workday. If the e [#permalink]

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New post 23 Dec 2014, 12:11
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Ans C

To solve such a question, we need atleast 2 of the following:

1. rate
2. time
3. total= rate x time

From Stem, we have 1, ie. rate.

Stmt 1: from the given rate, either he worked 3 extra regular hours or 2 over time to make 18 bucks more. NS
Stmt 2: time he worked yesterday doesnt say how many hours worked today-- NS

combined together:
if worked 8 hours yesterday, to make 18 dollars today-- he worked 2 hrs over time. ie. total of 10hrs. Sufficient.

Ans: C

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Re: A certain employee is paid $6 per hour for an 8-hour workday. If the e [#permalink]

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New post 24 Dec 2014, 08:26
Bunuel wrote:

Tough and Tricky questions: Word Problems.



A certain employee is paid $6 per hour for an 8-hour workday. If the employee is paid 3/2 times this rate for time worked in excess of 8 hours during a single day, how many hours did the employee work today?

(1) The employee was paid $18 more for hours worked today than for hours worked yesterday.
(2) Yesterday the employee worked 8 hours.

Kudos for a correct solution.


The correct answer is C.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: A certain employee is paid $6 per hour for an 8-hour workday. If the e   [#permalink] 06 Sep 2017, 22:34
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