Last visit was: 25 Apr 2024, 21:54 It is currently 25 Apr 2024, 21:54

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
SORT BY:
Date
Tags:
Show Tags
Hide Tags
Intern
Intern
Joined: 03 Jul 2020
Posts: 10
Own Kudos [?]: 28 [3]
Given Kudos: 1
Send PM
Senior Moderator - Masters Forum
Joined: 19 Jan 2020
Posts: 3137
Own Kudos [?]: 2769 [0]
Given Kudos: 1510
Location: India
GPA: 4
WE:Analyst (Internet and New Media)
Send PM
Retired Moderator
Joined: 19 Oct 2018
Posts: 1878
Own Kudos [?]: 6296 [0]
Given Kudos: 704
Location: India
Send PM
Senior Manager
Senior Manager
Joined: 14 Jul 2019
Status:Student
Posts: 478
Own Kudos [?]: 369 [0]
Given Kudos: 52
Location: United States
Concentration: Accounting, Finance
GMAT 1: 650 Q45 V35
GPA: 3.9
WE:Education (Accounting)
Send PM
Re: How many machines, working simultaneously at identical constant rates [#permalink]
abrutlag wrote:
How many machines, working simultaneously at identical constant rates, would it take to complete a certain work order of 1,500 widgets within 5 hours?

(1) It would take ten hours longer to complete the 1,500 widget order with three machines than it would take to complete it with five machines.
(2) It takes ten machines an hour longer to complete a 2,000 widget order than it takes them to complete a 1,800 widget order.


1) Say, 3 machine requires x hours to produce 1500 widget, so 5 machine requires x -10. Now since the rate is same: 1500/3x - 1500/5x = 10. One equation, one unknown. 450/x - 300/x = 10, or, 150/x =10. so x =15. Sufficient

2) 10 machine take 1 hour to produce 200 widget. So, 1 machine can produce 20 widgets in 1 hour. In 5 hour 1 machine can produce 100 widget. So, we need 15 machine.

D is the answer.
Intern
Intern
Joined: 03 Jul 2020
Posts: 10
Own Kudos [?]: 28 [0]
Given Kudos: 1
Send PM
Re: How many machines, working simultaneously at identical constant rates [#permalink]
yashikaaggarwal wrote:
I have some doubt regarding question. Though the question can be solved by either statement but the work rate mentioned in both statements are different.
In statement 1: work rate is 20 widgets/hour by 1 machine.

Statement 2 says, its machine is taking 1 hour longer to make 200 widgets. Confirm the source.


Statement 2 specifies 10 machines, not 1 machine. 10 machines take an hour longer to make 200 widgets, so 1 machine would take an hour longer to make 20 widgets.
GMAT Club Legend
GMAT Club Legend
Joined: 03 Jun 2019
Posts: 5344
Own Kudos [?]: 3964 [0]
Given Kudos: 160
Location: India
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Send PM
Re: How many machines, working simultaneously at identical constant rates [#permalink]
Asked:
How many machines, working simultaneously at identical constant rates, would it take to complete a certain work order of 1,500 widgets within 5 hours?

(1) It would take ten hours longer to complete the 1,500 widget order with three machines than it would take to complete it with five machines.
Let one machine take x hours to complete 1500 widget order
3 machines will take = x/3 hours
5 machines will take = x/5 hours
x/3 = x/5 + 10
x = 75 hours
Number of machines required to complete a certain work order of 1,500 widgets within 5 hours = 75/5 = 15 machines
SUFFICIENT

(2) It takes ten machines an hour longer to complete a 2,000 widget order than it takes them to complete a 1,800 widget order.
Let one machine take x hours to complete 1 widget order
It will take 10 machines to complete 2000 widget order = 2000x/10 = 200x hours
It will take 10 machines to complete 1800 widget order = 1800x/10 = 180x hours
200x - 180x = 1
20x = 1
x = 1/20 hours
Number of machines required to complete a certain work order of 1,500 widgets within 5 hours = 1500x/5 = 500/20 = 25
SUFFICIENT

IMO D
GMAT Club Bot
Re: How many machines, working simultaneously at identical constant rates [#permalink]
Moderator:
Math Expert
92915 posts

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