It is currently 28 Jun 2017, 19:50

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Machines X and Y produced identical bottles

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 29 Jan 2011
Posts: 358
Machines X and Y produced identical bottles [#permalink]

### Show Tags

03 Jul 2011, 00:53
1
This post was
BOOKMARKED
00:00

Difficulty:

35% (medium)

Question Stats:

82% (01:00) correct 18% (00:58) wrong based on 11 sessions

### HideShow timer Statistics

Please explain in detail? If anyone has studied from Manhattan . Can you please solve using their method?

Machines X and Y produced identical bottles at different constant rates. Machine X, operating alone for 4 hours, filled part of a production lot; then machine Y, operating alone for 3 hours, filled the rest of this lot. How many hours would it have taken machine X operating alone to fill the entire production lot?
(1) Machine X produced 30 bottles per minute.
(2) Machine X produced twice as many bottles in 4 hours as machine Y produced in 3 hours.
[Reveal] Spoiler: OA
Current Student
Joined: 26 May 2005
Posts: 563
Re: Machines X and Y produced identical bottles [#permalink]

### Show Tags

03 Jul 2011, 05:34
siddhans wrote:
Please explain in detail? If anyone has studied from Manhattan . Can you please solve using their method?

Machines X and Y produced identical bottles at different constant rates. Machine X, operating alone for 4 hours, filled part of a production lot; then machine Y, operating alone for 3 hours, filled the rest of this lot. How many hours would it have taken machine X operating alone to fill the entire production lot?
(1) Machine X produced 30 bottles per minute.
(2) Machine X produced twice as many bottles in 4 hours as machine Y produced in 3 hours.

U can plug in the values using option B .
Attachments

RTW.jpg [ 32.56 KiB | Viewed 1671 times ]

Manager
Joined: 29 Jun 2011
Posts: 76
Re: Machines X and Y produced identical bottles [#permalink]

### Show Tags

03 Jul 2011, 05:39
so we have here Total Work Done = 4X+3Y ie 4 hours of X rate + 3 hours of Y rate
let the net rate be r. so 7 hours of r = 4x+3y
ie 7r=4x+3y

now statement 1 : gives me rate of x...it is not sufficient since it doesnt say anything about y
statement 2 : 4 hours of x = 3 hours of y
ie 4x=3y
substituting in original equation we get => 7r =8x or x=(7/8)r

now 7 hours of r -----> full work
p hours of x -----> full work

therefore 7r = px but x=(7/8)r
so, 7r = 7/8 * r * p
or p = 8 hours...so the statement is sufficient.

Ans B
_________________

It matters not how strait the gate,
How charged with punishments the scroll,
I am the master of my fate :
I am the captain of my soul.
~ William Ernest Henley

Senior Manager
Joined: 03 Mar 2010
Posts: 440
Schools: Simon '16 (M)
Re: Machines X and Y produced identical bottles [#permalink]

### Show Tags

03 Jul 2011, 11:15
2
KUDOS
fivedaysleft wrote:
statement 2 : 4 hours of x = 2( 3 hours of y)

Shouldn't it be twice?

Let the rate of m/c X be x bottles/hour
Let the rate of m/c Y be y bottles/hour

So in 4 hours m/c X will produce = 4x bottles
and in 3 hours m/c Y will produce = 3y bottles.
Total bottles = 4x+3y ----(1)

Stmt1: Machine X produced 30 bottles per minute. i.e x=30bottles/min but rate of y is not given. Insufficient.

Stmt2: Machine X produced twice as many bottles in 4 hours as machine Y produced in 3 hours.

4x = 2 * 3y
y=2/3 x
Substituting in (1), 4x+ 3 * 2/3 x = 6x total number of bottles.

Now rate of m/c X is x bottles in 1 hour
so 6x bottles in 6 hours.

OA B.
_________________

My dad once said to me: Son, nothing succeeds like success.

Manager
Joined: 29 Jun 2011
Posts: 76
Re: Machines X and Y produced identical bottles [#permalink]

### Show Tags

03 Jul 2011, 11:21
yeah...my bad...but since it DS...it didnt do THAT much harm...the concept is fine though right?

any other mistake, kindly point out!
_________________

It matters not how strait the gate,
How charged with punishments the scroll,
I am the master of my fate :
I am the captain of my soul.
~ William Ernest Henley

Re: Machines X and Y produced identical bottles   [#permalink] 03 Jul 2011, 11:21
Similar topics Replies Last post
Similar
Topics:
1 Running at the same constant rate, 5 identical machines can produce on 2 07 May 2017, 10:21
2 Word Problem -Machines A, B and C produce identical balls at their res 3 27 Mar 2017, 06:10
89 Machine M, working alone at its constant rate, produces x wi 16 12 Jan 2017, 15:49
14 Machines X and Y produced identical bottles at different constant rate 5 12 Nov 2014, 18:52
281 Machines X and V produced identical bottles at different 18 01 Aug 2016, 05:28
Display posts from previous: Sort by