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

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

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New post 04 Nov 2015, 19:13
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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


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OA, and explanation will be posted after the 48 hour window closes.

This question is part of the Quant 4-Pack series

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Re: Problem Solving Pack 3, Question 4 Two printing presses begin...  [#permalink]

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New post 04 Nov 2015, 20:49
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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
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Re: Problem Solving Pack 3, Question 4 Two printing presses begin...  [#permalink]

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New post 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).
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Re: Problem Solving Pack 3, Question 4 Two printing presses begin...  [#permalink]

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New post 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
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


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

Final Answer:

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

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New post 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
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Problem Solving Pack 3, Question 4 Two printing presses begin...   [#permalink] 16 Jul 2017, 00:45
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