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

 It is currently 16 Oct 2019, 08:42

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

Machine P produces parts thrice as fast as machine Q does. Machine Q p

Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58380
Machine P produces parts thrice as fast as machine Q does. Machine Q p  [#permalink]

Show Tags

26 Sep 2018, 05:15
00:00

Difficulty:

25% (medium)

Question Stats:

79% (02:28) correct 21% (02:35) wrong based on 72 sessions

HideShow timer Statistics

Machine P produces parts thrice as fast as machine Q does. Machine Q produces 300 parts of product R in 60 minutes. If each machine produces parts at a constant rate, how many parts of product S does machine P produce in 10 minutes, if each part of product S takes 5/2 times of the time taken to produce each part of product R?

(A) 30
(B) 40
(C) 50
(D) 60
(E) 75

_________________
IESE School Moderator
Joined: 11 Nov 2017
Posts: 132
Location: Belgium
Concentration: Technology, Operations
GMAT 1: 670 Q47 V34
GMAT 2: 750 Q50 V41
GMAT 3: 750 Q50 V41
GPA: 2.5
WE: Engineering (Aerospace and Defense)
Re: Machine P produces parts thrice as fast as machine Q does. Machine Q p  [#permalink]

Show Tags

28 Sep 2018, 06:21
if machine P is 3x as fast as machine Q it would be capable of producing 900 parts of product R in 60 minutes

however every part of product S takes 5/2 the time to produce of a part of product R as such we have to divide 900 by 5/2

900/(5/2) = 900 x 2/5 = 180 x 2 = 360

so machine P is capable of making 360 parts of product S in 60 minutes

the question asks for number of parts in 10 minutes so
360/6 = 60 ==> D
Senior SC Moderator
Joined: 22 May 2016
Posts: 3543
Machine P produces parts thrice as fast as machine Q does. Machine Q p  [#permalink]

Show Tags

28 Sep 2018, 18:06
1
Bunuel wrote:
Machine P produces parts thrice as fast as machine Q does. Machine Q produces 300 parts of product R in 60 minutes. If each machine produces parts at a constant rate, how many parts of product S does machine P produce in 10 minutes, if each part of product S takes 5/2 times of the time taken to produce each part of product R?

(A) 30
(B) 40
(C) 50
(D) 60
(E) 75

Machine Q's rate for R: $$\frac{300R}{60min}=\frac{5R}{1min}$$

Machine P's rate for R is 3 times that of Q, so $$(3*\frac{5R}{1min})=\frac{15R}{1min}$$

Machine P's rate for S?
Producing S takes $$\frac{5}{2}$$ times of the time needed to produce R.

We have P's rate for R for 1 minute.
Multiply 1 minute by $$\frac{5}{2}$$

P's rate for S: $$\frac{15}{(\frac{5}{2}*1min)}=\frac{15}{(\frac{5}{2}min)}=(15*\frac{2}{5}min)=\frac{6S}{1 min}$$

In 10 minutes P will make how many parts of product S? RT = W: $$\frac{6S}{1min}*10min=60S$$

_________________
SC Butler has resumed! Get two SC questions to practice, whose links you can find by date, here.

Choose life.
VP
Joined: 09 Mar 2016
Posts: 1230
Machine P produces parts thrice as fast as machine Q does. Machine Q p  [#permalink]

Show Tags

29 Sep 2018, 03:23
Bunuel wrote:
Machine P produces parts thrice as fast as machine Q does. Machine Q produces 300 parts of product R in 60 minutes. If each machine produces parts at a constant rate, how many parts of product S does machine P produce in 10 minutes, if each part of product S takes 5/2 times of the time taken to produce each part of product R?

(A) 30
(B) 40
(C) 50
(D) 60
(E) 75

Hello Bunuel - GMAT club Quant Infinity - i couldnt understad what infinity is until i started following your posts

i have a frank question to you just keep it secret please only between you and me what is your opinon about the wording of this word problem ?

the wording is quite VAGUE because the question is :

If each machine produces parts at a constant rate, how many parts of product S does machine P produce in 10 minutes, if each part of product S takes 5/2 times of the time taken to produce each part of product R?

it says to produce EACH PART.

so based on the above question if Q produces 300/60 = 5 parts a minutes and Ps rate 900/60= 15 parts a minute , THEN HOW SHOULD I FIND, HOW MANY MINUTES/ SECONDS DOES IT TAKE TO PRODUCE EACH PART , because the question mentiones "5/2 times of the time taken to produce each part of product R?" it mentiones the word EACH PART.

so following such logic to find the time of P to produce EACH part i divided 15 parts by 60 SECONDS , because it takes 1 minute to produce 15 parts. Am i not correct ? if not, pls explain

p.s.
gmat quant preparation and division by zero have something in common i think …. that moment when i am infinite...indeed
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8069
Location: United States (CA)
Re: Machine P produces parts thrice as fast as machine Q does. Machine Q p  [#permalink]

Show Tags

29 Sep 2018, 18:04
Bunuel wrote:
Machine P produces parts thrice as fast as machine Q does. Machine Q produces 300 parts of product R in 60 minutes. If each machine produces parts at a constant rate, how many parts of product S does machine P produce in 10 minutes, if each part of product S takes 5/2 times of the time taken to produce each part of product R?

(A) 30
(B) 40
(C) 50
(D) 60
(E) 75

Since machine Q produces 300 parts of product R in 60 minutes, it can produce 300/60 = 5 parts of product R per minute. Since machine P is thrice as fast as machine Q, machine P can produce 15 parts of product R per minute.

Since each part of product S takes 5/2 times of the time taken to produce each part of product R, machine P can produce 15/(5/2) = 15 x 2/5 = 6 parts of product S per minute. So in 10 minutes, machine P can produce 10 x 6 = 60 parts of product S.

_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
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.

VP
Joined: 09 Mar 2016
Posts: 1230
Machine P produces parts thrice as fast as machine Q does. Machine Q p  [#permalink]

Show Tags

30 Sep 2018, 03:44
Bunuel wrote:
Machine P produces parts thrice as fast as machine Q does. Machine Q produces 300 parts of product R in 60 minutes. If each machine produces parts at a constant rate, how many parts of product S does machine P produce in 10 minutes, if each part of product S takes 5/2 times of the time taken to produce each part of product R?

(A) 30
(B) 40
(C) 50
(D) 60
(E) 75

Congrats everyone on an international day of Freedom of speech though i still dont agree with the inadequate wording of the problem above, here is my solution

Machine Q rate X
Machine P rate 3x

If Qs rate $$\frac{300}{60}$$ $$= 5$$ parts produced a minute, then P`s rate is $$3x$$ i.e $$15$$parts a minute

here comes the Question, vague and ambiguous, like political world

P Machine ---> # of parts S in 10 min, if S takes $$\frac{5}{2}$$ of the time taken to produce part R

$$\frac{900}{(\frac{60}{1} *\frac{5}{2})}= \frac{900}{150}= 6$$ --> it takes machine P to produce 6 parts of S in a minute

Hence in 10 minutes: 6*10 = 60
Machine P produces parts thrice as fast as machine Q does. Machine Q p   [#permalink] 30 Sep 2018, 03:44
Display posts from previous: Sort by