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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

It takes printer A 4 more minutes more than printer B to [#permalink]

Show Tags

21 Feb 2007, 03:53

4

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

95% (hard)

Question Stats:

59% (04:19) correct
41% (03:40) wrong based on 103 sessions

HideShow timer Statistics

It takes printer A 4 more minutes more than printer B to print 40 pages. Working together, the two printers can print 50 pages in 6 minutes. How long will it take Printer A to print 80 pages?

My answer is D.
Did it by picking the answer first and testing it.... Did not take very long....

We start the other way round. We say that printer A can print 80 pages in 24 minutes, then we can imply its rate:

r*24=80
r=80/24=10/3

Then, we test this rate to determine how many minutes it will take to print 40 pages:

10/3*t=40
t=12 minutes

Then printer B must have printed 40 pages in 8 minutes. Knowing this, we can determine the implied rate of B.

r*8=40
r=40/8=5

Now calculate the common rate: 10/3+5=25/3
And test it whether it works with the stated evidence, that those two printers working together can print 50 pages in 6 minutes:

25/3*6=50... it does work.

I started the values from choice C, after that you know which way to go, up or down
SO maximum you have to test two values.

Last edited by SimaQ on 21 Feb 2007, 05:33, edited 1 time in total.

It takes printer A 4 more minutes more than printer B to print 40 pages. Working together, the two printers can print 50 pages in 6 minutes. How long will it take Printer A to print 80 pages?

a. 12 b. 18 c. 20 d. 24 e. 30

If it takes 4 more minutes for A to print 40 pages than it takes B,
it takes 5 more minutes for A to print 50 pages than it takes B.

Thus if b is the number of minutes than B takes to print 50 pages,
we can write:

1/b+1/(b+5)=1/6 (since in 1 minute, they print 1/6th of the 50 page job)

6(2b+5)=b(b+5)

b^2-7b-30=0
(b-10)(b+3)=0

b=10

Thus it takes A 15 minutes to print 50 pages and 15*80/50=24 minutes to print 80 pages

It is easy to pick the answers and make the back solving, but the direct solve would be:

A => 40/(T+4) pg/min
B => 40/T pg/min
A+B => 50/6 pg/min

So: 40/(T+4) + 40/T = 50/6
with some algebra (T-8)*(5T+12)=0 so T=8min or T=-12/5min
Taking the T=8, A makes 40 pages in 12 min (8+4), and would take then 24 min to make 80pgs.

It takes printer A 4 more minutes more than printer B to print 40 pages. Working together, the two printers can print 50 pages in 6 minutes. How long will it take Printer A to print 80 pages?

a. 12 b. 18 c. 20 d. 24 e. 30

If it takes 4 more minutes for A to print 40 pages than it takes B, it takes 5 more minutes for A to print 50 pages than it takes B.

Thus if b is the number of minutes than B takes to print 50 pages, we can write:

1/b+1/(b+5)=1/6 (since in 1 minute, they print 1/6th of the 50 page job)

6(2b+5)=b(b+5)

b^2-7b-30=0 (b-10)(b+3)=0

b=10

Thus it takes A 15 minutes to print 50 pages and 15*80/50=24 minutes to print 80 pages

Kevin,

Would you please show me how you arrive 'If it takes 4 more minutes for A to print 40 pages than it takes B, it takes 5 more minutes for A to print 50 pages than it takes B.'?

It takes printer A 4 more minutes more than printer B to print 40 pages. Working together, the two printers can print 50 pages in 6 minutes. How long will it take Printer A to print 80 pages?

a. 12 b. 18 c. 20 d. 24 e. 30

If it takes 4 more minutes for A to print 40 pages than it takes B, it takes 5 more minutes for A to print 50 pages than it takes B.

Thus if b is the number of minutes than B takes to print 50 pages, we can write:

1/b+1/(b+5)=1/6 (since in 1 minute, they print 1/6th of the 50 page job)

6(2b+5)=b(b+5)

b^2-7b-30=0 (b-10)(b+3)=0

b=10

Thus it takes A 15 minutes to print 50 pages and 15*80/50=24 minutes to print 80 pages

Kevin,

Would you please show me how you arrive 'If it takes 4 more minutes for A to print 40 pages than it takes B, it takes 5 more minutes for A to print 50 pages than it takes B.'?

Thanks Phuoc

4 more minutes to print 40 pages --> in 1 more minutes 40/4=10 pages --> so in 5 more minutes 5*10 pages.

Complete solution: It takes printer A 4 more minutes than printer B to print 40 pages. Working together, the two printers can print 50 pages in 6 minutes. How long will it take printer A to print 80 pages? A. 12 B. 18 C. 20 D. 24 E. 30

Let the time needed to print 40 pages for printer A be \(a\) minutes, so for printer B it would be \(a-4\) minutes.

The rate of A would be \(rate=\frac{job}{time}=\frac{40}{a}\) pages per minute and the rate of B \(rate=\frac{job}{time}=\frac{40}{a-4}\) pages per minute.

Their combined rate would be \(\frac{40}{a}+\frac{40}{a-4}\) pages per minute. Also as "two printers can print 50 pages in 6 minutes" then their combined rate is \(rate=\frac{job}{time}=\frac{50}{6}\), so \(\frac{40}{a}+\frac{40}{a-4}=\frac{50}{6}\).

\(\frac{40}{a}+\frac{40}{a-4}=\frac{50}{6}\) --> \(\frac{1}{a}+\frac{1}{a-4}=\frac{5}{24}\). At this point we can either try to substitute the values from answer choices or solve quadratic equation. Remember as we are asked to find time needed for printer A to print \(80\) pages, then the answer would be \(2a\) (as \(a\) is the time needed to print \(40\) pages). Answer D works: \(2a=24\) --> \(a=12\) --> \(\frac{1}{12}+\frac{1}{8}=\frac{5}{24}\).

It takes printer A 4 more minutes more than printer B to print 40 pages. Working together, the two printers can print 50 pages in 6 minutes. How long will it take Printer A to print 80 pages?

a. 12 b. 18 c. 20 d. 24 e. 30

If it takes 4 more minutes for A to print 40 pages than it takes B, it takes 5 more minutes for A to print 50 pages than it takes B.

Thus if b is the number of minutes than B takes to print 50 pages, we can write:

1/b+1/(b+5)=1/6 (since in 1 minute, they print 1/6th of the 50 page job)

6(2b+5)=b(b+5)

b^2-7b-30=0 (b-10)(b+3)=0

b=10

Thus it takes A 15 minutes to print 50 pages and 15*80/50=24 minutes to print 80 pages

Kevin,

Would you please show me how you arrive 'If it takes 4 more minutes for A to print 40 pages than it takes B, it takes 5 more minutes for A to print 50 pages than it takes B.'?

Thanks Phuoc

4 more minutes to print 40 pages --> in 1 more minutes 40/4=10 pages --> so in 5 more minutes 5*10 pages.

Complete solution: It takes printer A 4 more minutes than printer B to print 40 pages. Working together, the two printers can print 50 pages in 6 minutes. How long will it take printer A to print 80 pages? A. 12 B. 18 C. 20 D. 24 E. 30

Let the time needed to print 40 pages for printer A be \(a\) minutes, so for printer B it would be \(a-4\) minutes.

The rate of A would be \(rate=\frac{job}{time}=\frac{40}{a}\) pages per minute and the rate of B \(rate=\frac{job}{time}=\frac{40}{a-4}\) pages per minute.

Their combined rate would be \(\frac{40}{a}+\frac{40}{a-4}\) pages per minute. Also as "two printers can print 50 pages in 6 minutes" then their combined rate is \(rate=\frac{job}{time}=\frac{50}{6}\), so \(\frac{40}{a}+\frac{40}{a-4}=\frac{50}{6}\).

\(\frac{40}{a}+\frac{40}{a-4}=\frac{50}{6}\) --> \(\frac{1}{a}+\frac{1}{a-4}=\frac{5}{24}\). At this point we can either try to substitute the values from answer choices or solve quadratic equation. Remember as we are asked to find time needed for printer A to print \(80\) pages, then the answer would be \(2a\) (as \(a\) is the time needed to print \(40\) pages). Answer D works: \(2a=24\) --> \(a=12\) --> \(\frac{1}{12}+\frac{1}{8}=\frac{5}{24}\).

Campus visits play a crucial role in the MBA application process. It’s one thing to be passionate about one school but another to actually visit the campus, talk...

Its been long time coming. I have always been passionate about poetry. It’s my way of expressing my feelings and emotions. And i feel a person can convey...

Written by Scottish historian Niall Ferguson , the book is subtitled “A Financial History of the World”. There is also a long documentary of the same name that the...

Post-MBA I became very intrigued by how senior leaders navigated their career progression. It was also at this time that I realized I learned nothing about this during my...