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21 Mar 2017, 05:05
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
84% (01:53) correct
16%
(02:38)
wrong
based on 335
sessions
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At a certain company, Annie’s hourly rate is 50 percent greater than Jeff’s hourly rate. However, if Jeff works on Saturday, he receives three times his normal hourly rate. If Annie and Jeff worked 30 hours from Monday through Friday, and Annie does not work on Saturday, how many hours must Jeff work on Saturday to earn the same total pay as Annie?
A. 1
B. 3
C. 4
D. 5
E. 8
A. 1
B. 3
C. 4
D. 5
E. 8
21 Mar 2017, 08:57
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Bunuel
Hey,
PFB the solution.
- • Let Jeff's normal hourly rate be \(J\)
• Then as per the given condition
- o Annie hour rate \(= J * (1 + 5/100) = 1.5 J\)
o Jeff's rate on Saturday \(= 3J\)
• In the same time, Jeff will get = \(30J\)
• As per the given condition, if Jeff wants to get an amount equal to Annie, he will need to work say H(hours) on Saturday and we need to find the value of H.
- o Amount Jeff gets = Amount Annie gets
o \(30J + 3J * H = 45J\)
o \(3J* H = 15J\)
o \(H = 5\)hours
Thus, the correct answer is Option D
Thanks,
Saquib
Quant Expert
e-GMAT
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21 Mar 2017, 10:27
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Let's say Jeff hourly rate is $2
Therefore, Annie hourly rate is $3 (2 x 1.5)
Jeff = 2 x 30 = 60
Annie = 3 x 30 = 90
If Jeff's hourly rate is three times his hourly rate on Saturday
Then he makes $6 per hour on Saturday
90 - 60 = 30
30/6 = 5 more hours
Which is answer D
Therefore, Annie hourly rate is $3 (2 x 1.5)
Jeff = 2 x 30 = 60
Annie = 3 x 30 = 90
If Jeff's hourly rate is three times his hourly rate on Saturday
Then he makes $6 per hour on Saturday
90 - 60 = 30
30/6 = 5 more hours
Which is answer D
