It is currently 19 Feb 2018, 17:25

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 43810
At a bakery, Tom normally earns x dollars per hour of the first n hour [#permalink]

### Show Tags

22 Jan 2018, 22:24
Expert's post
1
This post was
BOOKMARKED
00:00

Difficulty:

75% (hard)

Question Stats:

58% (02:46) correct 42% (03:23) wrong based on 36 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
[Reveal] Spoiler: OA

_________________
Senior Manager
Joined: 17 Oct 2016
Posts: 324
Location: India
Concentration: Operations, Strategy
GPA: 3.73
WE: Design (Real Estate)
Re: At a bakery, Tom normally earns x dollars per hour of the first n hour [#permalink]

### Show Tags

22 Jan 2018, 23:15
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

Senior Manager
Joined: 31 Jul 2017
Posts: 287
Location: Malaysia
WE: Consulting (Energy and Utilities)
At a bakery, Tom normally earns x dollars per hour of the first n hour [#permalink]

### Show Tags

22 Jan 2018, 23:25
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.. !!

Intern
Joined: 07 Aug 2017
Posts: 13
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

18 Feb 2018, 06:04
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 -
$$nx+1.375(t-n)x = 2nx$$
$$n+1.375(t-n) = 2n$$
$$1.375(t-n) = n$$
$$\frac{(t-n)}{n}=\frac{1}{1.375}=\frac{8}{11}$$

------------------------------------------------------------------------------------------------------------------------------------
Re: At a bakery, Tom normally earns x dollars per hour of the first n hour   [#permalink] 18 Feb 2018, 06:04
Display posts from previous: Sort by