Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 28 Jul 2015, 12:34

RAGCT Week 1 Winners announced here

### GMAT Club Daily Prep

#### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# When Jack picks olives for two hours at three times his regu

Author Message
TAGS:
Manager
Joined: 10 Sep 2012
Posts: 151
Followers: 2

Kudos [?]: 61 [0], given: 17

When Jack picks olives for two hours at three times his regu [#permalink]  20 Nov 2012, 17:05
1
This post was
BOOKMARKED
00:00

Difficulty:

55% (hard)

Question Stats:

63% (03:22) correct 37% (02:21) wrong based on 57 sessions
When Jack picks olives for two hours at three times his regular speed, he picks 10 pounds of olives more than Mac working for five hours at 80% of his regular speed. Therefore, if Mac picks olives for one hour at double his regular speeds, and Jack picks olives for four hours at 75% of his regular speed, then

Jack picks double the amount of olives Mac picks
Mac picks 10 pounds more than Jack
Jack picks 10 pounds more than Mac
Mac picks 5 more pounds than Jack
Jack picks 5 more pounds than Mac

Does anyone have an elegant solution for this?

The solution presents a algebraic brute forcer, but I think some of you guys could do this better. I will post the solution if there are inquiries.
[Reveal] Spoiler: OA
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 5735
Location: Pune, India
Followers: 1444

Kudos [?]: 7572 [1] , given: 186

Re: When Jack picks olives for two hours at three times his regu [#permalink]  20 Nov 2012, 20:15
1
KUDOS
Expert's post
anon1 wrote:
When Jack picks olives for two hours at three times his regular speed, he picks 10 pounds of olives more than Mac working for five hours at 80% of his regular speed. Therefore, if Mac picks olives for one hour at double his regular speeds, and Jack picks olives for four hours at 75% of his regular speed, then

Jack picks double the amount of olives Mac picks
Mac picks 10 pounds more than Jack
Jack picks 10 pounds more than Mac
Mac picks 5 more pounds than Jack
Jack picks 5 more pounds than Mac

Does anyone have an elegant solution for this?

The solution presents a algebraic brute forcer, but I think some of you guys could do this better. I will post the solution if there are inquiries.

Let's say Jack's regular speed is J olives/hr and Mac's regular speed is M olives/hr

Given:
2*3J = 10 + 5*(4/5)M
3J = 5 + 2M

Question: " if Mac picks olives for one hour at double his regular speeds, and Jack picks olives for four hours at 75% of his regular speed"

Mac picks 2M and Jack picks 4*(3/4)J = 3J
They are asking you for the relation between 3J and 2M. You already know 3J = 5 + 2M
So Jack picks 5 pounds more olives than Mac.
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews Manager Joined: 10 Sep 2012 Posts: 151 Followers: 2 Kudos [?]: 61 [1] , given: 17 Re: When Jack picks olives for two hours at three times his regu [#permalink] 20 Nov 2012, 21:00 1 This post received KUDOS I understand everything you did and that was pretty easy. I just wish I'll be able to do that on the test..... When you first see that, what exactly is your plan? Do you just start writing everything out in terms of numbers and variables, simplify and hope something fits? (especially the last part of simplying to get 2m = 5 +3J , and then changing the second part of the question into 2m and 4*3/4 J and getting 3J, then you reveal the 5) It seems like that's what you did, which is oversimplifying the method but it worked here. Veritas Prep GMAT Instructor Joined: 16 Oct 2010 Posts: 5735 Location: Pune, India Followers: 1444 Kudos [?]: 7572 [1] , given: 186 Re: When Jack picks olives for two hours at three times his regu [#permalink] 21 Nov 2012, 03:26 1 This post received KUDOS Expert's post anon1 wrote: I understand everything you did and that was pretty easy. I just wish I'll be able to do that on the test..... When you first see that, what exactly is your plan? Do you just start writing everything out in terms of numbers and variables, simplify and hope something fits? (especially the last part of simplying to get 2m = 5 +3J , and then changing the second part of the question into 2m and 4*3/4 J and getting 3J, then you reveal the 5) It seems like that's what you did, which is oversimplifying the method but it worked here. Before the test starts there is only one thought in my mind - one can answer every question they ask using the data they give. The question is - how much time do you take? My plan is to never use variables and never write anything(I solved this question without writing anything though I admit I was doing nothing more than making these equations in my mind). The trouble is that the plan doesn't work sometimes. I read the question and I wanted to pick variables because 2 hrs, 3 times, 80% etc were too complicated to handle without variables though it was obvious that they will all fit in neatly (notice 5 hrs at 80% - we know 80% is 4/5 so we are left with 4 etc) As for simplifying the equation, it is but a natural step. If you see 2x + 4y = 8, you simplify it to x + 2y = 4 whether you see an immediate need or not. In the next part, when I saw the 2M, it was obvious that a 3J was on the way. Had there been a 6M, I would have expected to see a 9J. Remember, in GMAT things always fit in together. _________________ Karishma Veritas Prep | GMAT Instructor My Blog Get started with Veritas Prep GMAT On Demand for$199

Veritas Prep Reviews

Current Student
Joined: 03 Aug 2012
Posts: 920
Concentration: General Management, General Management
GMAT 1: 630 Q47 V29
GMAT 2: 680 Q50 V32
GPA: 3.7
WE: Information Technology (Investment Banking)
Followers: 17

Kudos [?]: 359 [0], given: 322

Re: When Jack picks olives for two hours at three times his regu [#permalink]  28 Sep 2013, 01:10
We know form the question and diagram that :

6x = 4y + 10 .....(1)

And from the diagram we need to have a relation between 3x and 2y.

Dividing (1) by 2

We have

3x = 2y + 5

Hence (E) !
Attachments

sol.JPG [ 20.1 KiB | Viewed 570 times ]

_________________

Rgds,
TGC!
_____________________________________________________________________
I Assisted You => KUDOS Please
_____________________________________________________________________________

Re: When Jack picks olives for two hours at three times his regu   [#permalink] 28 Sep 2013, 01:10
Similar topics Replies Last post
Similar
Topics:
8 There are these two sets of letters, and you are going to pick exactly 5 04 Mar 2015, 03:25
2 By himself, Jack can clean a yacht in 12 hours. On a particular day 5 13 Oct 2014, 15:01
Jack needs workers to clean his driveway for the current season. Each 2 21 Sep 2014, 21:59
4 Jack purchased two chairs at a discount of 50% 2 07 May 2014, 05:34
26 It takes Jack 2 more hours than Tom to type 20 pages. If 18 04 Aug 2010, 18:09
Display posts from previous: Sort by