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.

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:

PS: 3 secretaries (m21-02) [#permalink]
21 Nov 2007, 10:30

Three secretaries working together can type 36 pages of text in half an hour. If the typing speeds of the secretaries are in a 4:3:2 ratio, how long will it take the slowest-typing secretary working alone to type 52 pages of text?

(A) 1 hour and 34 minutes (B) 1 hour and 45 minutes (C) 2 hours and 24 minutes (D) 3 hours and 15 minutes (E) 3 hours and 25 minutes

Re: PS: 3 secretaries (m21-02) [#permalink]
05 Jan 2011, 06:05

3

This post received KUDOS

bibha wrote:

Can anyone explain the method once again???

You have typing speeds for each secretary as follows 4:3:2. Lets say secretary A, secretary B and secretary C respectively. So A has a speed of 4x, B of 3x and C of 2x

The three of them could write 36 pages in half hour so: 36 pages = A effort + B effort + C effort 36 = 4x + 3x + 2x x = 4

So we derive that the secretary C could finish 2x of work that would be 8 pages in the half hour So for C how much would it take to write 52 pages?

Re: PS: 3 secretaries [#permalink]
21 Nov 2007, 10:34

1

This post received KUDOS

GK_Gmat wrote:

Three secretaries working together can type 36 pages in half an hour. If the typing speeds of the secretaries are in 4:3:2 ratio, how long will it take the slowest-typing secretary working alone to type 52 pages?

Please explain. Thanks.

4x+3x+2x=72 (1hr) 9x=72 --x=8. The slowest is 2(8) 16pgs in 1 hr.

Re: PS: 3 secretaries (m21-02) [#permalink]
03 Jan 2014, 18:42

1

This post received KUDOS

Cheers everyone this is my first post and 1st day of GMAT prep.. +1 for D -Total Time taken for 36 pages is 30 minutes I.e overall typing speed is 36/30=1.2 page/minute -Now considering slowest typing speed ratio w.r.t total speed we get 2/9 (slowest speed/overall) -To type 52 pages overall time will be 52(pages)/1.2(pages/minute)=43.4 minutes Therfore multiplying the slowest time ratio of 9/2 to overall time will lead to slowest individual time taken I.e. 195 mintes 3hr 15 min

Re: PS: 3 secretaries (m21-02) [#permalink]
05 Jan 2011, 07:41

Okay so this is how I thought of it...

Lets find how many pages were completed per individual in those 36pages in 30mins

4x + 3x + 2x = 36 9x = 36 x = 4

So the slowest person would be 2x...which only did 8 pages in those 30mins The question is asking how long it would take this person to type 56 pages well 8pages * 6 = 48pages remember it is 8 pages for every 30mins so 6*.5 = 3 hours with a left over of 4 pages which is half of 8pages therefore it would be half the mins...30mins/2 = 15mins

in the end we get 3hrs and 15mins Choice D...this is my exact thought process. there is probably a better way to figure this out after you get x = 4

Re: PS: 3 secretaries (m21-02) [#permalink]
05 Jan 2011, 09:46

+1 for D.

Here is my solution; lets say x pages were completed per individual in those 36pages in 30mins (x is speed in page per min) 4x + 3x + 2x = 36/30 p/m 9x = 36/30 p/m x = 4/30 p/m =4p/30m

So the slowest person would be 2x = 8p/30m since slowest person needs 30 min for 8 pages or, he can complete 8 page in 30 min for 52 page he needs =30*52/8 = 195min = 3 hr 15 min.

Choice D.. _________________

kudos me if you like my post.

Attitude determine everything. all the best and God bless you.

Re: PS: 3 secretaries (m21-02) [#permalink]
05 Jan 2011, 22:45

Rate * Time = work Rate *1/2 = 36 Rate = 72. Problem stated that the rates of the 3 members are in the ratio 0f 4:3:2. we need rate for the smaller worker which is 2/9.

So 72*2/9 =16 (rate of the smaller worker). Again back to the formula: Rate * Time = work 16* X= 52 X=52/16=26/8=3.25 (3 hour 15 minutes)

Re: PS: 3 secretaries (m21-02) [#permalink]
19 Nov 2011, 22:30

It takes 3 secretaries 30mins to type 36 pages at a ratio of 4:3:2 pages per secretary, e.g. the fastest types 16 pages in 30 mins, the middle one types 12 pages in 30mins, and the slowest one types 8 pages in 30mins, or she will take 3.75mins per page.

So, 3.75min/page x 52 pages = 195mins or 3hrs 15mins.

Re: PS: 3 secretaries (m21-02) [#permalink]
09 Jan 2012, 10:21

I did the question as most others did and got to D within a minute to a minute and a half.

Personally I do not feel that this is a 700 level question, however, seeing as they make the test and define its difficultly they would be the final authority on this topic. 700+ it is.

Re: PS: 3 secretaries (m21-02) [#permalink]
10 Jan 2013, 03:26

answer D 3 secretary working together types 36 pages in 30 mins 3 secretary working together will type 72 pages in 60 mins ratio of typing speed 4:3:2 , so assuming x is the no. of pages then 4x+3x+2X = 72 pages/hr 9x=72page/hr X=8page/hr, slowest person types 2x times so 16 pages/hr or 4page/15mins so 52 pages will be 52/4= 13(15mins) which equals 3 hour and 15mins alternately 52 pages will be types in 16/hr*3 = 48page/3hours + 4page /15mins = 52 page in 3hr & 15mins

Re: PS: 3 secretaries (m21-02) [#permalink]
15 Jan 2013, 01:57

slowest secretary contributes 2/9th of the quantities in half an hour = 36X2/9 = 8 pgs in half hour or 16 pages in 1 hr. hence to produce 52 pages it will take 52/16 = 3 hrs and 15 mins.