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

It is currently 19 Oct 2018, 02:59

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

Two men undertook to do a job for $1400 and decided to divide

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

Hide Tags

Manager
Manager
avatar
G
Joined: 28 Jun 2018
Posts: 138
Location: India
Concentration: Finance, Marketing
GPA: 4
GMAT ToolKit User Premium Member Reviews Badge CAT Tests
Two men undertook to do a job for $1400 and decided to divide  [#permalink]

Show Tags

New post 04 Aug 2018, 08:36
5
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

66% (03:25) correct 34% (02:53) wrong based on 41 sessions

HideShow timer Statistics

Two men undertook to do a job for $1400 and decided to divide the money as per their contribution.One of them alone can do the job in 7 days and other one in 8 days.With the assistance of a boy , they together completed the work in 3 days.How much money boy should get?
1) $300
2) $325
3) $275
4) $250
5) $225

_________________

What to do if you are new to GMAT:
https://gmatclub.com/forum/what-to-do-if-you-are-new-272708.html#p2108758

GMAC official guides : https://gmatclub.com/forum/gmac-official-guides-the-master-directory-links-240610.html#p1854935

Give me kudos if you like it , it's totally harmless :)

Moderator on Sabbatical
User avatar
G
Joined: 30 Jan 2015
Posts: 604
Location: India
Concentration: Operations, Marketing
GPA: 3.5
Re: Two men undertook to do a job for $1400 and decided to divide  [#permalink]

Show Tags

New post 04 Aug 2018, 09:49
1
GMATbuster92 wrote:
Two men undertook to do a job for $1400 and decided to divide the money as per their contribution.One of them alone can do the job in 7 days and other one in 8 days.With the assistance of a boy , they together completed the work in 3 days.How much money boy should get?

Total cost = 1400

A can do the job in 7 days
A's 1 day work = 1/7

B can do the job in 8 days
B's 1 day work = 1/8

Along with C they finish the job in 3 days

C's part of the job in 3 days :
= 1 - Total job done by A and B in 3 days
= 1 - 3 * ( 1/7 + 1/8 )
= 1 - 3 * (15/56)
= 1 - 45/56
= 11/56

Therefore, C will get 11/56 of total cost = 1400 * 11/56 = 275

Hence, C.
_________________

The few, the fearless !

Thanks :-)

Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 2034
Premium Member CAT Tests
Two men undertook to do a job for $1400 and decided to divide  [#permalink]

Show Tags

New post 04 Aug 2018, 10:14
2
GMATbuster92 wrote:
Two men undertook to do a job for $1400 and decided to divide the money as per their contribution.One of them alone can do the job in 7 days and other one in 8 days.With the assistance of a boy , they together completed the work in 3 days.How much money boy should get?
1) $300
2) $325
3) $275
4) $250
5) $225

If you do not see the "combined amount of work" approach, another approach is to find the boy's daily rate and multiply by the 3 days he worked to calculate the portion for which he is paid.

(1)The boy's daily work rate
Find the combined daily rate of the men and subtract that from combined rate of all three.

The combined rate of the two men is
\((\frac{1}{7} +\frac{1}{8})=\frac{15}{56}\)

If the boy joins the two men, the combined rate is \(\frac{1}{3}\). Thus rate of men + rate of boy, B
\((\frac{15}{56}+\frac{1}{B})=\frac{1}{3}\)

\(\frac{1}{B}=(\frac{1}{3}-\frac{15}{56})\)

\(\frac{1}{B}=(\frac{56}{168}-\frac{45}{168})\)

Boy's rate: \(\frac{1}{B}=\frac{11}{168}\)

(2) Amount of work the boy does in 3 days
\((\frac{11}{168}*3)=\frac{33}{168}\) of the work.

(3) Amount paid?
Paid proportionally, the boy gets
\((\frac{33}{168}*$1,400)=(\frac{33}{3}*$25)=(11*$25)=$275\)

Answer C
_________________

The only thing more dangerous than ignorance is arrogance.
-- Albert Einstein

VP
VP
avatar
P
Joined: 07 Dec 2014
Posts: 1104
Two men undertook to do a job for $1400 and decided to divide  [#permalink]

Show Tags

New post 04 Aug 2018, 10:17
GMATbuster92 wrote:
Two men undertook to do a job for $1400 and decided to divide the money as per their contribution.One of them alone can do the job in 7 days and other one in 8 days.With the assistance of a boy , they together completed the work in 3 days.How much money boy should get?
1) $300
2) $325
3) $275
4) $250
5) $225


1-(3/7+3/8)=11/56
11/56*$1400=$275
GMAT Club Bot
Two men undertook to do a job for $1400 and decided to divide &nbs [#permalink] 04 Aug 2018, 10:17
Display posts from previous: Sort by

Two men undertook to do a job for $1400 and decided to divide

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.