Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

It is currently 20 Jul 2019, 05:05

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

If machine M is required to make 3000 items and machine N is required

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

Hide Tags

Find Similar Topics 
Intern
Intern
avatar
S
Status: MBA Student
Joined: 20 Nov 2017
Posts: 30
Location: India
Concentration: Strategy, Marketing
GPA: 3.9
WE: Consulting (Consumer Electronics)
If machine M is required to make 3000 items and machine N is required  [#permalink]

Show Tags

New post 12 Jul 2018, 03:59
5
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

53% (02:00) correct 48% (01:37) wrong based on 85 sessions

HideShow timer Statistics


If machine M is required to make 3000 items and machine N is required to make 4000 items, which of the machines will finish earlier than the other when both work at their respective constant rates?

1. Machine N can make 1000 more items than M per hour
2. N's work rate is twice that of M
Most Helpful Community Reply
Director
Director
User avatar
V
Joined: 12 Feb 2015
Posts: 875
If machine M is required to make 3000 items and machine N is required  [#permalink]

Show Tags

New post 12 Jul 2018, 08:53
7
Stimulus: If machine M is required to make 3000 items and machine N is required to make 4000 items, which of the machines will finish earlier than the other when both work at their respective constant rates?

Statement 1:
1. Machine N can make 1000 more items than M per hour


Scenerio 1: Let the rate of Machine M be 1000 units per hour therefore the rate of Machine N will be 2000 units per hour (1000 units more)
In this case Machine M will take three hours to finish the work and Machine N will take two hours to finish the work. In this case Machine N will finish its work earlier than Machine M.

Scenerio 2:
Let the rate of Machine M be 3000 units per hour therefore the rate of Machine N will be 4000 units per hour (1000 units more)
In this case Machine M will take one hour to finish the work and Machine N will also take one hour to finish the work. Therefore both the machines will finish their respective work on the same time.

Since we have two different answers to statement 1, this is clearly insufficient.


Statement 2:
2. N's work rate is twice that of M


We should not use number testing to prove sufficiency. We should use algebra and logic.

Proof:-

Let x be the number of hours taken by Machine M to finish 3000 units.
- Machine M's rate of work is 3000/x (i.e. Number of units produced per hour) AND
- Machine N's rate is twice that of M or 6000/x (i.e. at twice the rate Machine N produces double the Number of units per hour)

By Definition Machine M will take x hours to complete 3000 units AND
Machine N will take (\(\frac{work to be done}{rate}\)) or (\(\frac{4000}{(6000/x)}\)) or \(\frac{2x}{3}\)

Hence \(\frac{2x}{3}\) < x Therefore sufficient. machine N will always take two third of the time when compared to the time taken by Machine M.

Correct Answer is B
_________________
"Please hit :thumbup: +1 Kudos if you like this post" :student_man:

_________________
Manish :geek:

"Only I can change my life. No one can do it for me"
General Discussion
Senior Manager
Senior Manager
User avatar
G
Joined: 13 Feb 2018
Posts: 421
GMAT 1: 640 Q48 V28
Premium Member
Re: If machine M is required to make 3000 items and machine N is required  [#permalink]

Show Tags

New post 12 Jul 2018, 04:08
Got lil confused, we are not told that both machines start the work simultaneously (at the same time)

:dazed :roll: :sad:
Manager
Manager
User avatar
G
Joined: 19 Nov 2017
Posts: 184
Location: India
Schools: ISB
GMAT 1: 670 Q49 V32
GPA: 4
If machine M is required to make 3000 items and machine N is required  [#permalink]

Show Tags

New post 12 Jul 2018, 04:10
Hi Karthik200!
Please double check the OA.

Thanks,
V

Edit: Or give the OE :grin:
_________________
Regards,

Vaibhav



Sky is the limit. 800 is the limit.

~GMAC
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7764
Re: If machine M is required to make 3000 items and machine N is required  [#permalink]

Show Tags

New post 12 Jul 2018, 09:34
If machine M is required to make 3000 items and machine N is required to make 4000 items, which of the machines will finish earlier than the other when both work at their respective constant rates?

1. Machine N can make 1000 more items than M per hour
Answer would depend on the speed ...
a) if the speed of M is 3000 items ph and that of N is 4000 items ph.... both will finish together
b) if the speed of M is <3000 say 1000 items per hr and that of N is 2000 items per hr...... N will do faster
c) speed of M is > 3000 say 9000 and that of N as 10000, M will finish faster

insuff

2. N's work rate is twice that of M
So N will take half the time for same work or N can make double the items in same time
Thus when N finishes 4000, N would finish 4000/2 = 2000 and N will finish first


B
_________________
Director
Director
User avatar
V
Joined: 12 Feb 2015
Posts: 875
Re: If machine M is required to make 3000 items and machine N is required  [#permalink]

Show Tags

New post 12 Jul 2018, 09:49
vaibhav1221 wrote:
Hi Karthik200!
Please double check the OA.

Thanks,
V

Edit: Or give the OE :grin:



I think you used number testing to prove sufficiency for Statement 1 and did not test for one hour. We could use algebra and logic for statement 1 as well.

Proof:-

Let x be the number of hours taken by Machine M to finish 3000 units.
- Machine M's rate of work is 3000/x (i.e. Number of units produced per hour) AND
- Machine N's rate is 1000 more units than that of Machine M or (\(\frac{3000}{x}\) + 1000) (i.e. at the rate Machine N produces 1000 more units than Machine M per hour)

By Definition Machine M will take x hours to complete 3000 units AND
Machine N will take (\(\frac{work to be done}{rate}\)) or (\(\frac{4000}{(3000/x + 1000)}\)) or \(\frac{4x}{(3+x)}\)

Hence we have 3 scenerios:-

1) \(\frac{4x}{(3+x)}\) = 1 when x = 1 which means Machine M will finish its work with machine N in one hours time.
2) \(\frac{4x}{(3+x)}\) = \(\frac{8}{5}\) hours when x = 2 which means Machine N will take less time to do its work than Machine M.
3) \(\frac{4x}{(3+x)}\) = \(\frac{4}{7}\) hours when x = 1/2 hours means Machine M will take less time to do its work than Machine N.

Since there are 3 scenarios, we have insufficiency.
_________________
"Please hit :thumbup: +1 Kudos if you like this post" :student_man:

_________________
Manish :geek:

"Only I can change my life. No one can do it for me"
GMAT Club Bot
Re: If machine M is required to make 3000 items and machine N is required   [#permalink] 12 Jul 2018, 09:49
Display posts from previous: Sort by

If machine M is required to make 3000 items and machine N is required

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





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