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Lloyd normally works 7.5 hours per day and earns $4.50 per hour

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Lloyd normally works 7.5 hours per day and earns $4.50 per hour [#permalink]

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Question Stats:

85% (01:38) correct 15% (01:49) wrong based on 97 sessions

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Lloyd normally works 7.5 hours per day and earns $4.50 per hour. For each hour he works in excess of 7.5 hours on a given day, he is paid 1.5 times his regular rate. If Lloyd works 10.5 hours on a given day, how much does he earn for that day?

A. $33.75
B. $47.25
C. $51.75
D. $54.00
E. $70.00

Hello Guys, This is a "GMAT question of the day" question from the official GMAT website. This question is being discussed for the first time on GMATClub. I will provide official explanation screenshot in a couple of days. Till then enjoy! :)

Also, kindly give me +1 Kudos if you found this question helpful (Badly need 'em) :P :)
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Re: Lloyd normally works 7.5 hours per day and earns $4.50 per hour [#permalink]

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New post 18 Mar 2016, 12:34
\(\frac{15}{2} * \frac{9}{2} + (3 * \frac{3}{2} * \frac{9}{2}) = \frac{216}{4} = 54\)

Answer: D

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Re: Lloyd normally works 7.5 hours per day and earns $4.50 per hour [#permalink]

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New post 22 Mar 2016, 07:52
Here's the official solution from the GMAT. Cheers ! :P

Also, kindly give me +1 Kudos if you found this question helpful (Badly need 'em)[/color] :P :)[/quote]
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Re: Lloyd normally works 7.5 hours per day and earns $4.50 per hour [#permalink]

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New post 24 Mar 2016, 10:21
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Hi All,

While these types of arithmetic questions are fairly straight-forward, you can potentially save some time if you choose to do the 'math' in a slightly different way.

Given the information in the prompt, we can go about calculating Lloyd's pay with the following equation:

(7.5)($4.50) + 3(1.5)($4.50)

However, you can 'rearrange' the math a bit and do it this way instead:

7.5 hours + 3(1.5 hours) = 7.5 + 4.5 = 12 hours

(12 hours)($4.50)

You'll likely find the second calculation to be considerably faster than the first. With either approach, you'll still end up with the correct answer, but this goes to show that just because you can answer a question correctly doesn't mean that there might still be a way to improve on what you're doing.

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Re: Lloyd normally works 7.5 hours per day and earns $4.50 per hour [#permalink]

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New post 24 Mar 2016, 11:12
Sorry but i'm new to the site. Why do you post the level of the question for some questions and not the others?

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Lloyd normally works 7.5 hours per day and earns $4.50 per hour [#permalink]

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New post 24 Mar 2016, 17:52
Hi hffballer,

When posting a GMAT prompt, you have the option to add 'tags' (so the prompt can be searched more easily later) which include the source of the question, the content involved and the difficulty level. Some posters choose to include this information while others do not.

1) You mentioned how you were new to this website, but how long have you been studying for the GMAT?

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Re: Lloyd normally works 7.5 hours per day and earns $4.50 per hour [#permalink]

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New post 25 Mar 2016, 07:08
I've been studying for about a month but only around 2 hours a day. I'm starting the Veritas class when i get back from vacation in April.

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Re: Lloyd normally works 7.5 hours per day and earns $4.50 per hour [#permalink]

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Hi hffballer,

With a class-start in April, it sounds like you're relatively early-on in your studies. You'll find that this Forum is a fantastic place to post questions, receive advice and take advantage of the broad knowledge-base available.

1) When are you planning to take the GMAT?
2) What is your goal score?

GMAT assassins aren't born, they're made,
Rich
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Re: Lloyd normally works 7.5 hours per day and earns $4.50 per hour [#permalink]

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New post 28 Mar 2016, 12:34
Daily working hour*Regular Rate + Overtime*Increased Rate
7.5*4.5+ 3*4.5*1.5
Will end in .00 so only D and E left.
7*4+3*4*1=40, answer is slightly more that 40 hence 54 , Choice D

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Re: Lloyd normally works 7.5 hours per day and earns $4.50 per hour [#permalink]

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New post 28 Nov 2017, 07:55
It's a word problem

So the equation formed is a follows:

7.5*4.5+(x-7.5)*6.75

Substitute x=10.5
And you get 54, which is D

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app

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Re: Lloyd normally works 7.5 hours per day and earns $4.50 per hour [#permalink]

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New post 29 Nov 2017, 17:12
Devlikes wrote:
Lloyd normally works 7.5 hours per day and earns $4.50 per hour. For each hour he works in excess of 7.5 hours on a given day, he is paid 1.5 times his regular rate. If Lloyd works 10.5 hours on a given day, how much does he earn for that day?

A. $33.75
B. $47.25
C. $51.75
D. $54.00
E. $70.00


We can create the following expression to determine what Lloyd is paid:

7.5 x 4.5 + 1.5 x 4.5 x (10.5 - 7.5)

33.75 + 6.75(3) = 33.75 + 20.25 = 54

Answer: D
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Re: Lloyd normally works 7.5 hours per day and earns $4.50 per hour   [#permalink] 29 Nov 2017, 17:12
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