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At a certain company, Annie’s hourly rate is 50 percent greater than

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At a certain company, Annie’s hourly rate is 50 percent greater than [#permalink]

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New post 21 Mar 2017, 04:05
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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
[Reveal] Spoiler: OA

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Re: At a certain company, Annie’s hourly rate is 50 percent greater than [#permalink]

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New post 21 Mar 2017, 07:57
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Bunuel wrote:
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


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 \(= 3J\)
    • Annie works for 30 hours, therefore, she get \(= 30 * 1.5 J = 45J\)
    • 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
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Re: At a certain company, Annie’s hourly rate is 50 percent greater than [#permalink]

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New post 21 Mar 2017, 09:27
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
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At a certain company, Annie’s hourly rate is 50 percent greater than [#permalink]

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New post 29 Apr 2017, 04:27
EgmatQuantExpert wrote:
Bunuel wrote:
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


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 \(= 3J\)
    • Annie works for 30 hours, therefore, she get \(= 30 * 1.5 J = 45J\)
    • 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


saquib, thanks for providing algebraic solution. I used values, which seemed easier and faster for this question, but seeing the way you set up the equation was helpful for future problems not as amenable to choosing values and plugging in.

Small typo here, I think? See highlight. 1.5 = (1 + 50/100).

(1 + 5/100 = 1.05, not 1.5) :)
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At a certain company, Annie’s hourly rate is 50 percent greater than   [#permalink] 29 Apr 2017, 04:27
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