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It takes printer A 4 more minutes than printer B to print 40

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Re: a good one [#permalink] New post 18 Feb 2014, 23:34
Expert's post
prasannajeet wrote:
Hi Bunuel

I may be crazy but let me understand what is wrong in the following equation and why I am not getting the right answer...
Lets rate of B=T so A=T+4

(1/T+4)+(1/T)=5/24....????? :roll:

Rgds
prasannajeet


If T is the rate how is T + (4 days) = (rate) + (time) = (rate) ???
If T is rate, then 1/T = 1/(rate) = (time), while 5/24 = (rate). How is (1/T+4)+(1/T) = (time) + (time) + (time) = 5/24 = (rate)???
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Re: a good one [#permalink] New post 19 Feb 2014, 01:51
Bunuel wrote:
prasannajeet wrote:
Hi Bunuel

I may be crazy but let me understand what is wrong in the following equation and why I am not getting the right answer...
Lets rate of B=T so A=T+4

(1/T+4)+(1/T)=5/24....????? :roll:

Rgds
prasannajeet


If T is the rate how is T + (4 days) = (rate) + (time) = (rate) ???
If T is rate, then 1/T = 1/(rate) = (time), while 5/24 = (rate). How is (1/T+4)+(1/T) = (time) + (time) + (time) = 5/24 = (rate)???


Sorry for typo...
T is the time taken by B then T+4 is time taken by A.
So now the rate would be
40/T+40/T+4=50/6....Still wont get the right answer...

Pls Help.....

Rgds
Prasannajeet
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 18856
Followers: 3275

Kudos [?]: 22916 [0], given: 2651

Re: a good one [#permalink] New post 19 Feb 2014, 02:36
Expert's post
prasannajeet wrote:
Bunuel wrote:
prasannajeet wrote:
Hi Bunuel

I may be crazy but let me understand what is wrong in the following equation and why I am not getting the right answer...
Lets rate of B=T so A=T+4

(1/T+4)+(1/T)=5/24....????? :roll:

Rgds
prasannajeet


If T is the rate how is T + (4 days) = (rate) + (time) = (rate) ???
If T is rate, then 1/T = 1/(rate) = (time), while 5/24 = (rate). How is (1/T+4)+(1/T) = (time) + (time) + (time) = 5/24 = (rate)???


Sorry for typo...
T is the time taken by B then T+4 is time taken by A.
So now the rate would be
40/T+40/(T+4)=50/6....Still wont get the right answer...

Pls Help.....

Rgds
Prasannajeet


Solving 40/T+40/(T+4)=50/6 gives T=8 minutes, thus printer A to print 40 pages takes T+4=12 minutes. The same answer as we have here: it-takes-printer-a-4-more-minutes-than-printer-b-to-print-98479.html#p759109

Hope it's clear.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

1 KUDOS received
Intern
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Joined: 27 Jan 2014
Posts: 6
Location: India
Concentration: General Management, Finance
Schools: HBS '16, Wharton '16
GMAT Date: 04-25-2014
GPA: 3.77
WE: Project Management (Investment Banking)
Followers: 0

Kudos [?]: 8 [1] , given: 6

Re: a good one [#permalink] New post 19 Feb 2014, 03:05
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Nothing's wrong here. Your equation: [{1/(T+4)} + {1/T}] = 5/24 is a simplified version of the actual equation: 6*[{40/(T+4)}+{40/T}]=50.

Which essentially has come from (what has been explained in above posts); i.e. In 1 minute, A can print 40/T+4 pages and B can print 40/T pages, so together in 1 min they can print 40/(T+4) + 40/T pages. Therefore, in 6 minutes, they can print 6*[{40/(T+4)}+{40/T}], which is given to be 50. When you simplify, you get the equation that you have written.

Pardon the repetitions or my lack of brevity :)

prasannajeet wrote:

Hi Bunuel

I may be crazy but let me understand what is wrong in the following equation and why I am not getting the right answer...
Lets rate of B=T so A=T+4

(1/T+4)+(1/T)=5/24....????? :roll:

Rgds
prasannajeet
Re: a good one   [#permalink] 19 Feb 2014, 03:05
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