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

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Bunuel
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A certain employee is paid $6 per hour for an 8-hour workday. If the [#permalink] New post   22 Dec 2014, 08:52
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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?

(1) The employee was paid $18 more for hours worked today than for hours worked yesterday.
(2) Yesterday the employee worked 8 hours.
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Re: A certain employee is paid $6 per hour for an 8-hour workday. If the [#permalink] New post   22 Dec 2014, 10:34
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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 $6 per hour for an 8-hour workday. If the [#permalink] New post   22 Dec 2014, 20:12
Synthesizing the question 6$/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 [#permalink] 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 [#permalink] 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 [#permalink] 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 [#permalink] New post   15 Jul 2022, 01:18
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Re: A certain employee is paid $6 per hour for an 8-hour workday. If the [#permalink]
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