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# Problem Solving Pack 3, Question 4 Two printing presses begin...

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EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
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Joined: 19 Dec 2014
Posts: 13953
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Problem Solving Pack 3, Question 4 Two printing presses begin...  [#permalink]

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04 Nov 2015, 19:13
1
7
00:00

Difficulty:

45% (medium)

Question Stats:

69% (02:38) correct 31% (02:57) wrong based on 224 sessions

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QUANT 4-PACK SERIES Problem Solving Pack 3 Question 4 Two printing presses begin printing...

Two printing presses begin printing currency at the same time and at constant speeds. Press F produces 5-dollar bills at the rate of 1,000 bills per minute. Press T produces 20-dollar bills at the rate of 200 bills per minute. Once the machines have begun printing, how many seconds does it take for Press F to produce 50 dollars more currency than Press T?

A) 2
B) 3
C) 4
D) 5
E) 6

48 Hour Window Answer & Explanation Window
OA, and explanation will be posted after the 48 hour window closes.

This question is part of the Quant 4-Pack series

Scroll Down For Official Explanation

_________________
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# Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/ Math Expert Joined: 02 Aug 2009 Posts: 7558 Re: Problem Solving Pack 3, Question 4 Two printing presses begin... [#permalink] ### Show Tags 04 Nov 2015, 20:49 2 2 EMPOWERgmatRichC wrote: QUANT 4-PACK SERIES Problem Solving Pack 3 Question 4 Two printing presses begin printing... Two printing presses begin printing currency at the same time and at constant speeds. Press F produces 5-dollar bills at the rate of 1,000 bills per minute. Press T produces 20-dollar bills at the rate of 200 bills per minute. Once the machines have begun printing, how many seconds does it take for Press F to produce 50 dollars more currency than Press T? A) 2 B) 3 C) 4 D) 5 E) 6 48 Hour Window Answer & Explanation Window Earn KUDOS! Post your answer and explanation. OA, and explanation will be posted after the 48 hour window closes. This question is part of the Quant 4-Pack series Scroll Down For Official Explanation Press F produces$5 bills @1000 per minute(60 sec) so $500 in 6 secs Press T produces$20 bills 200 per minute(60 sec) so $400 in 6 secs.. so we can see F produces$ 100 in 6 secs or will print $50 in 3 secs.. ans 3 secs.. B _________________ Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 7226 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: Problem Solving Pack 3, Question 4 Two printing presses begin... [#permalink] ### Show Tags 05 Nov 2015, 01:49 Forget conventional ways of solving math questions. In PS, IVY approach is the easiest and quickest way to find the answer. Two printing presses begin printing currency at the same time and at constant speeds. Press F produces 5-dollar bills at the rate of 1,000 bills per minute. Press T produces 20-dollar bills at the rate of 200 bills per minute. Once the machines have begun printing, how many seconds does it take for Press F to produce 50 dollars more currency than Press T? A) 2 B) 3 C) 4 D) 5 E) 6 For t minutes Press F produces 5*1000*t dollars, and Press T produces 20*200*t dollars. So 5000t – 4000t should be 50(i.e. 1000t=50). ---> t= 5/100(minute). So it takes (5/100)*60(seconds)(=3 seconds) The answer is, therefore, (B). _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$149 for 3 month Online Course"
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EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 13953
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: Problem Solving Pack 3, Question 4 Two printing presses begin...  [#permalink]

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07 Nov 2015, 16:07
EMPOWERgmatRichC wrote:
QUANT 4-PACK SERIES Problem Solving Pack 3 Question 4 Two printing presses begin printing...

Two printing presses begin printing currency at the same time and at constant speeds. Press F produces 5-dollar bills at the rate of 1,000 bills per minute. Press T produces 20-dollar bills at the rate of 200 bills per minute. Once the machines have begun printing, how many seconds does it take for Press F to produce 50 dollars more currency than Press T?

A) 2
B) 3
C) 4
D) 5
E) 6

48 Hour Window Answer & Explanation Window
OA, and explanation will be posted after the 48 hour window closes.

This question is part of the Quant 4-Pack series

Scroll Down For Official Explanation

Hi All,

'Rate' questions on the GMAT often require an additional calculation (to convert one type of 'unit' to another), so it's important to pay careful attention to the unit measures involved.

Here, we have two different printing presses creating different currencies/minute.

Press F produces 1,000 5-dollar bills per minute --> or 5,000 dollars in currency per minute
Press T produces 200 20-dollar bills per minute --> or 4,000 dollars in currency per minute

We're asked to determine how long it would take (in SECONDS) for Press F to create 50 dollars MORE currency than Press T.

Since we know how much currency each press produces per minute, we just have to convert the necessary units to answer the question. The difference in dollars per MINUTE is 5,000 - 4,000 = 1,000. So Press F produces 1,000 dollars MORE per MINUTE than Press T. One minute = 60 seconds, so to create 50 dollars more, we need to divide both sides of the calculation by 20...

1,000 dollars = 60 seconds
1,000/20 dollars = 60/20 seconds
50 dollars = 3 seconds

GMAT assassins aren't born, they're made,
Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

# Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save $75 + GMAT Club Tests Free Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/ Intern Joined: 09 Feb 2017 Posts: 2 WE: Information Technology (Consulting) Problem Solving Pack 3, Question 4 Two printing presses begin... [#permalink] ### Show Tags 16 Jul 2017, 00:45 Machine A : 1 min = 5000$ (5*1000)
1 sec = \frac{5000}{60}

Machine B:
1 min = 4000$(20*200) 1 sec = \frac{4000}{60} Given, difference is 50$ after 'what' seconds, say x seconds.
-->\frac{5000x}{60} - \frac{4000x}{60} = 50
-->\frac{100x}{6}= 50
-->x = \frac{300}{100}
-->x = 3
Problem Solving Pack 3, Question 4 Two printing presses begin...   [#permalink] 16 Jul 2017, 00:45
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