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

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Math Expert
Joined: 02 Sep 2009
Posts: 51263
At a certain company, Annie’s hourly rate is 50 percent greater than  [#permalink]

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21 Mar 2017, 04:05
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Difficulty:

15% (low)

Question Stats:

86% (01:44) correct 14% (02:59) wrong based on 94 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

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Joined: 04 Jan 2015
Posts: 2324
Re: At a certain company, Annie’s hourly rate is 50 percent greater than  [#permalink]

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21 Mar 2017, 07:57
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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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
Senior SC Moderator
Joined: 22 May 2016
Posts: 2218
At a certain company, Annie’s hourly rate is 50 percent greater than  [#permalink]

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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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Joined: 09 Sep 2013
Posts: 9198
Re: At a certain company, Annie’s hourly rate is 50 percent greater than  [#permalink]

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12 Jul 2018, 17:29
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# At a certain company, Annie’s hourly rate is 50 percent greater than

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