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

It is currently 21 Oct 2019, 15:57

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

A certain number of men complete a piece of work in 60 days. If there

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

Hide Tags

Find Similar Topics 
Director
Director
avatar
Joined: 07 Jun 2004
Posts: 555
Location: PA
A certain number of men complete a piece of work in 60 days. If there  [#permalink]

Show Tags

New post 07 Jan 2005, 16:11
2
1
6
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

72% (01:59) correct 28% (02:16) wrong based on 119 sessions

HideShow timer Statistics

A certain number of men complete a piece of work in 60 days. If there were 8 men more the work would have been completed in 10 days less. How many men were there originally?

A. 10
B. 20
C. 30
D. 40
E. 50
VP
VP
avatar
Joined: 18 Nov 2004
Posts: 1154
Re: A certain number of men complete a piece of work in 60 days. If there  [#permalink]

Show Tags

New post 07 Jan 2005, 17:58
1
1
40.

If there are x workers in first case 1 man will take 60x. In second it will be 50(x+8)

60x = 50x + 400
x = 40
VP
VP
User avatar
Joined: 25 Nov 2004
Posts: 1204
Re: A certain number of men complete a piece of work in 60 days. If there  [#permalink]

Show Tags

New post 07 Jan 2005, 23:16
1
suppose total number of men = x

x men can work a job in 60 days
x men can work 1/60 job in 1 day
1 man can work 1/60x in 1 day..........................1

x+8 can do the same job in 50 days
similarly,
1 man can do 1/50(x+8) job in 1 day ..............2

from 1 and 2, 1/60x = 1/50(x+8)

solving the equation, x = 40 men.
Senior Manager
Senior Manager
User avatar
Joined: 21 Sep 2004
Posts: 453
Re: A certain number of men complete a piece of work in 60 days. If there  [#permalink]

Show Tags

New post 09 Jan 2005, 10:09
40.
x-----60 days
x+8----50 days.
(x+8)50=60x
50x+400=60x
therefore, x=40.
Intern
Intern
avatar
Joined: 03 Nov 2018
Posts: 3
Re: A certain number of men complete a piece of work in 60 days. If there  [#permalink]

Show Tags

New post 05 Nov 2018, 04:50
1
Applying MDH method
X*60=(x+8)*50

On solving; x=40

Posted from my mobile device
VP
VP
User avatar
D
Joined: 31 Oct 2013
Posts: 1467
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
CAT Tests
A certain number of men complete a piece of work in 60 days. If there  [#permalink]

Show Tags

New post 06 Nov 2018, 08:08
rxs0005 wrote:
A certain number of men complete a piece of work in 60 days. If there were 8 men more the work would have been completed in 10 days less. How many men were there originally?

A. 10
B. 20
C. 30
D. 40
E. 50



we are asked to find out the no. of workers there were at the beginning .

Let the no. of worker be x. Now we can calculate the total work algebraically.

60*x = total work.

but if there were 8 more men this task could be performed 10 days early. It means we could do the task in 50 days.

(x + 8) = total no. of men

So, 50(x + 8) = total work.

60x = 50(x + 8)

x = 40.

the best answer is D.

Useful property:

no. of men * rate * time = work.
VP
VP
User avatar
D
Joined: 09 Mar 2016
Posts: 1230
Re: A certain number of men complete a piece of work in 60 days. If there  [#permalink]

Show Tags

New post 06 Nov 2018, 08:38
rxs0005 wrote:
A certain number of men complete a piece of work in 60 days. If there were 8 men more the work would have been completed in 10 days less. How many men were there originally?

A. 10
B. 20
C. 30
D. 40
E. 50



let x be inital # of men

x = 60
x+8= 50
cross multiply

50x = 60(x+8)

50x=60x+480

50x-60x = 480

-10x = 480

x = - 48

strange why negative num i got :? does it mean that there was only 1 men who was working for 40 men :lol:

anyway 40-8 = 40 :)
Target Test Prep Representative
User avatar
D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8117
Location: United States (CA)
Re: A certain number of men complete a piece of work in 60 days. If there  [#permalink]

Show Tags

New post 07 Nov 2018, 19:08
rxs0005 wrote:
A certain number of men complete a piece of work in 60 days. If there were 8 men more the work would have been completed in 10 days less. How many men were there originally?

A. 10
B. 20
C. 30
D. 40
E. 50


The rate for the unknown number of men is 1/60.

The rate for 8 more men is 1/50.

We can let n = the original number of men and create the proportion:

n/(1/60) = (n + 8)/(1/50)

60n = 50n + 400

10n = 400

n = 40

Answer: D
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

GMAT Club Bot
Re: A certain number of men complete a piece of work in 60 days. If there   [#permalink] 07 Nov 2018, 19:08
Display posts from previous: Sort by

A certain number of men complete a piece of work in 60 days. If there

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





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