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14 Dec 2012, 05:09
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
78% (01:42) correct
22%
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wrong
based on 2304
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An employee is paid 1.5 times the regular hourly rate for each hour worked in excess of 40 hours per week, excluding Sunday, and 2 times the regular hourly rate for each hour worked on Sunday. How much was the employee paid last week?
(1) The employee's regular hourly rate is $10.
(2) Last week the employee worked a total of 54 hours but did not work more than 8 hours on any day.
(1) The employee's regular hourly rate is $10.
(2) Last week the employee worked a total of 54 hours but did not work more than 8 hours on any day.
14 Dec 2012, 05:15
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An employee is paid 1.5 times the regular hourly rate for each hour worked in excess of 40 hours per week, excluding Sunday, and 2 times the regular hourly rate for each hour worked on Sunday. How much was the employee paid last week?
(1) The employee's regular hourly rate is $10. No information about the number of hours the employee worked last week and what was the distribution of these hours. Not sufficient.
(2) Last week the employee worked a total of 54 hours but did not work more than 8 hours on any day. We don't know what is the regular hourly rate and the distribution of these 54 hours. Not sufficient.
(1)+(2) If the employee worked 40 hours from Monday to Friday (8 hours per day), 7 hours on Saturday and 7 hours on Sunday, then the employee was paid 40*10+7*15+7*20. But if the employee worked 40 hours from Monday to Friday (8 hours per day), 8 hours on Saturday and 6 hours on Sunday, then the employee was paid 40*10+8*15+6*20. Not sufficient.
Answer: E.
(1) The employee's regular hourly rate is $10. No information about the number of hours the employee worked last week and what was the distribution of these hours. Not sufficient.
(2) Last week the employee worked a total of 54 hours but did not work more than 8 hours on any day. We don't know what is the regular hourly rate and the distribution of these 54 hours. Not sufficient.
(1)+(2) If the employee worked 40 hours from Monday to Friday (8 hours per day), 7 hours on Saturday and 7 hours on Sunday, then the employee was paid 40*10+7*15+7*20. But if the employee worked 40 hours from Monday to Friday (8 hours per day), 8 hours on Saturday and 6 hours on Sunday, then the employee was paid 40*10+8*15+6*20. Not sufficient.
Answer: E.
General Discussion
13 Sep 2013, 22:26
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Same answer as above, but expanding on the algebra if we're trying to evaluate option (C)
The total hours worked are 54(\(N+N_s=54\)), this could mean the employee worked 8 hours per day Monday - Saturday (\(N=48\)) and 6 hours Sunday (\(N_s=6\)), in which case
\(Total Pay = 40R+\frac{3}{2}R(8)+R_s6=40R+\frac{3}{2}R(8)+2R6=40R+12R+12R=64R\)
OR the employee could have worked 8 hours per day for 5 weekdays, 6 hours for the remaining weekday (\(N=46\)) and 8 hours on Sunday (\(N_s=8\)), in this case,
\(Total Pay = 40R+\frac{3}{2}R(6)+R_s8=40R+\frac{3}{2}R(6)+2R8=40R+9R+16R=65R\)
In one scenario Total Pay is \(65R\), in the other Total Pay is \(64R\) therefore statements (1) and (2) are jointly insufficient.
- \(R=\)Regular Rate (Mon - Sat)
- \(N=\)Hours worked (Mon - Sat)
- \(N_s=\)Hours worked Sunday
- \(R_s=2R=\)Sunday Rate
The total hours worked are 54(\(N+N_s=54\)), this could mean the employee worked 8 hours per day Monday - Saturday (\(N=48\)) and 6 hours Sunday (\(N_s=6\)), in which case
\(Total Pay = 40R+\frac{3}{2}R(8)+R_s6=40R+\frac{3}{2}R(8)+2R6=40R+12R+12R=64R\)
OR the employee could have worked 8 hours per day for 5 weekdays, 6 hours for the remaining weekday (\(N=46\)) and 8 hours on Sunday (\(N_s=8\)), in this case,
\(Total Pay = 40R+\frac{3}{2}R(6)+R_s8=40R+\frac{3}{2}R(6)+2R8=40R+9R+16R=65R\)
In one scenario Total Pay is \(65R\), in the other Total Pay is \(64R\) therefore statements (1) and (2) are jointly insufficient.
