GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 22 Oct 2019, 20:17

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

At a bakery, Tom normally earns x dollars per hour of the first n hour

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58427
At a bakery, Tom normally earns x dollars per hour of the first n hour  [#permalink]

Show Tags

New post 22 Jan 2018, 23:24
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

58% (02:56) correct 42% (02:33) wrong based on 94 sessions

HideShow timer Statistics

At a bakery, Tom normally earns x dollars per hour of the first n hours of the day. For each hour he works in excess of n hours on a given day, he is paid 1.375 times his regular rate. If Tom decides to start working over time, what is the ratio of over time hours to regular time hours required to double his daily income?

A. 7 : 10
B. 375 : 100
C. 100 : 375
D. 11 : 8
E. 8 : 11

_________________
Senior Manager
Senior Manager
User avatar
G
Joined: 17 Oct 2016
Posts: 310
Location: India
Concentration: Operations, Strategy
GPA: 3.73
WE: Design (Real Estate)
GMAT ToolKit User
Re: At a bakery, Tom normally earns x dollars per hour of the first n hour  [#permalink]

Show Tags

New post 23 Jan 2018, 00:15
E

This question can easily be solved by assuming values.

Lets say tom earns 10$ per hour working for 8 hours normal time. his total earning is 80$.

Now wage for OT hours = 13.75$ per hour. this is to be equal to 80$ to make his income double.

Hence number of OT hours need to be worked is 80/13.75=35/6.

Hence ratio of OT hours to normal hours = 35/6/(8) = 8:11. option E
_________________
Help with kudos if u found the post useful. Thanks
Director
Director
avatar
P
Joined: 31 Jul 2017
Posts: 512
Location: Malaysia
Schools: INSEAD Jan '19
GMAT 1: 700 Q50 V33
GPA: 3.95
WE: Consulting (Energy and Utilities)
At a bakery, Tom normally earns x dollars per hour of the first n hour  [#permalink]

Show Tags

New post 23 Jan 2018, 00:25
1
Bunuel wrote:
At a bakery, Tom normally earns x dollars per hour of the first n hours of the day. For each hour he works in excess of n hours on a given day, he is paid 1.375 times his regular rate. If Tom decides to start working over time, what is the ratio of over time hours to regular time hours required to double his daily income?

A. 7 : 10
B. 375 : 100
C. 100 : 375
D. 11 : 8
E. 8 : 11


Let a be the number of extra hours, so as per the question \(nx + a(1.375x) = 2nx\)
\(n = 1.375a\) or \(a/n = 8/11\)
_________________
If my Post helps you in Gaining Knowledge, Help me with KUDOS.. !!
Manager
Manager
User avatar
G
Joined: 07 Aug 2017
Posts: 86
Location: India
GPA: 4
WE: Information Technology (Consulting)
Re: At a bakery, Tom normally earns x dollars per hour of the first n hour  [#permalink]

Show Tags

New post 18 Feb 2018, 07:04
Let \(t\) be the total hours that Tom worked in a day, of which \(n\) are regular hours and \(t-n\) are overtime hours. We are asked to find the ratio of \(\frac{(t-n)}{n}\) such that Tom's income is double.

So for Tom to earn the double of his regular rate, the number of hours that he has to work can be expressed as -
\(nx+1.375(t-n)x = 2nx\)
\(n+1.375(t-n) = 2n\)
\(1.375(t-n) = n\)
\(\frac{(t-n)}{n}=\frac{1}{1.375}=\frac{8}{11}\)


------------------------------------------------------------------------------------------------------------------------------------
Kudos if helpful!
EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 15309
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: At a bakery, Tom normally earns x dollars per hour of the first n hour  [#permalink]

Show Tags

New post 25 Feb 2018, 16:03
Hi All,

This question has a number of subtle 'hints' built into it (and the answer choices) that would help you to TEST VALUES. Most of the TESTs that you could do will involve fractions though (which is part of what makes this question harder than average). Here's how you could approach it:

We're told Tom gets paid $X per hour for each of the first N hours worked...
then Tom gets paid $1.375X per hour for each additional hour thereafter.

The first "hint" is that 0.375 = 3/8, so Tom gets paid (1 3/8)X for each overtime hour. This means that making X a multiple of 8 should help to simplify the math a bit.

We're then asked for the ratio of OVERTIME hours to REGULAR hours needed to DOUBLE his daily pay.

IF....
X = 8
N = 2
Tom earns $8(2 hours) = $16 of normal pay

(1 3/8)(8) = $11/hour for each overtime hour.

To DOUBLE his normal pay, the overtime pay must ALSO equal $16, so...

$11(Z overtime hours) = $16
Z = 16/11

So the ratio of overtime hours to regular hours is...

16/11: 2

This ratio needs to be "cleaned up" though, so let's multiply both sides by 11...

16: 22

And then reduce....

8:11

Final Answer:

GMAT assassins aren't born, they're made,
Rich
_________________
Contact Rich at: Rich.C@empowergmat.com
Image


The Course Used By GMAT Club Moderators To Earn 750+

souvik101990 Score: 760 Q50 V42 ★★★★★
ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★
GMAT Club Bot
Re: At a bakery, Tom normally earns x dollars per hour of the first n hour   [#permalink] 25 Feb 2018, 16:03
Display posts from previous: Sort by

At a bakery, Tom normally earns x dollars per hour of the first n hour

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne