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

 It is currently 13 Aug 2018, 23:42

### 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

# Working alone at its own constant rate, a machine seal k

Author Message
Manager
Joined: 20 May 2008
Posts: 55
Working alone at its own constant rate, a machine seal k  [#permalink]

### Show Tags

08 Sep 2008, 14:54
Working alone at its own constant rate, a machine seal k cartons in 8 hours, and working alone at its own constant rate, a second machine seals k cartons in 4 hours. If the two machines, each working at its own constant rate and for the same period of time, together sealed a certain number of cartons, what percent of the cartons were sealed by the machine working at the faster rate?

a) 25%
b) 33 1/3 %
c)50%
d)66 2/3 %
e) 75%

This question has been discussed on the forums earlier but there is not solution that explains how to get the Ans.

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Intern
Joined: 23 May 2008
Posts: 47

### Show Tags

08 Sep 2008, 15:03
Machine 1: 50 cartons in 8 hours
Machine 2: 50 cartons in 4 hours

After 16 hours

Machine 1 100 cartons
Machine 2 200 cartons

Total cartons = 300

Faster machine = 200 cartons

200/300 = 2/3 = 66.6%
Director
Joined: 12 Jul 2008
Posts: 511
Schools: Wharton

### Show Tags

08 Sep 2008, 16:58
LoyalWater wrote:
Working alone at its own constant rate, a machine seal k cartons in 8 hours, and working alone at its own constant rate, a second machine seals k cartons in 4 hours. If the two machines, each working at its own constant rate and for the same period of time, together sealed a certain number of cartons, what percent of the cartons were sealed by the machine working at the faster rate?

a) 25%
b) 33 1/3 %
c)50%
d)66 2/3 %
e) 75%

This question has been discussed on the forums earlier but there is not solution that explains how to get the Ans.

In 8 hours, machine 1 will seal k cartons.
In 8 hours, machine 2 will seal 2k cartons.

Total cartons in 8 hours = 3k
Total cartons sealed by fast machine = 2k/3k = 66 2/3%
Current Student
Joined: 11 May 2008
Posts: 551

### Show Tags

09 Sep 2008, 10:12
think of it like this...
what is the meaning of this---
if u can do work in 4 hrs and i can do it in 8 hrs, what does it mean??
it means that every hour, i work half as slowly as you do. thats the reason i take twice the time u take to finish the work.
so imagine if we start working and after 1 hr we want to stop, u pack say 100 bags and i since im half as efficient pack only 50 bags in 1 hr.
together we have 150 bags and your contribution is 100/150=2/3=66.66% of total work.

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: GmatPrep &nbs [#permalink] 09 Sep 2008, 10:12
Display posts from previous: Sort by

# Working alone at its own constant rate, a machine seal k

Moderator: chetan2u

# Events & Promotions

 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®.