Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 48034

Jane can make a handcrafted drum in 4 weeks. Zane can make a similar
[#permalink]
Show Tags
27 Feb 2015, 06:02
Question Stats:
93% (00:50) correct 7% (00:50) wrong based on 149 sessions
HideShow timer Statistics



Intern
Joined: 03 Jul 2014
Posts: 11
Concentration: Technology, Entrepreneurship

Re: Jane can make a handcrafted drum in 4 weeks. Zane can make a similar
[#permalink]
Show Tags
27 Feb 2015, 07:28
Ans : (B). J = 4 weeks per item = 1/28 of an item / day Z = 6 weeks per item = 1/42 item / day Combined = 1/42 + 1/28 = 5/84 of an item per day. Let them take x weeks to complete 1 item => x/7 per day => 15x/7 = 5/84 => 36.
Is this correct? Or is there a faster solution?



Manager
Joined: 26 May 2013
Posts: 95

Jane can make a handcrafted drum in 4 weeks. Zane can make a similar
[#permalink]
Show Tags
Updated on: 28 Feb 2015, 10:30
Rate of Jane = 1/4 drum per week
Rate of Zane = 1/6 drum per week
Rate of Jane + Rate of Zane = 1/4 + 1/6 = 5/12
Next step: set up an equation.
5/12 = 15/x
*its important to understand the equation. 5/12 states that in order to make 5 drums, it will take 12 hours. This allows you to set up the opposite equation to solve for x (as seen above).
Alternatively, you can interpret 5/12 as the amount of time it takes to make one drum. So you could also divide 15 by 5/12 and this will also give you the answer, 36, however it's a much more cumbersome way to solve the problem.
x = 36. (B)
Posted from my mobile device
Originally posted by ak1802 on 27 Feb 2015, 13:00.
Last edited by ak1802 on 28 Feb 2015, 10:30, edited 1 time in total.



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 12196
Location: United States (CA)

Re: Jane can make a handcrafted drum in 4 weeks. Zane can make a similar
[#permalink]
Show Tags
27 Feb 2015, 13:54
Hi All, This question is presented as a Work Formula question, which means that you can do the math in a couple of different ways. You can do "per unit" math or use the Work Formula. In this prompt though, there's ANOTHER way to get to the correct answer, but you have to notice how the numbers 'intersect' with one another.... Jane can make a drum in 4 weeks Zane can make a drum in 6 weeks It's interesting that those numbers are both even integers. Since the least common multiple of 4 and 6 is 12, we can figure out a quick calculation.... Jane can make 3 drums in 12 weeks Zane can make 2 drums in 12 weeks So, in 12 weeks, they make a total of 5 drums. I bring this up because the question asks how long it takes the two of them to make 15 drums.... 12 weeks/5 drums = 36 weeks/15 drums Final Answer: GMAT assassins aren't born, they're made, Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com
Rich Cohen
CoFounder & GMAT Assassin
Special Offer: Save $75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/
***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************



Retired Moderator
Status: I Declare War!!!
Joined: 02 Apr 2014
Posts: 242
Location: United States
Concentration: Finance, Economics
GMAT Date: 03182015
WE: Asset Management (Investment Banking)

Re: Jane can make a handcrafted drum in 4 weeks. Zane can make a similar
[#permalink]
Show Tags
27 Feb 2015, 15:42
IMO its B
i would do something like this in exam: small mental note ( A do x work in q days ; B do same x work in Y days.. then together = (q+y)/(q*y) and then reciprocal of it.)
(6+4)/(6*4)= 10/24 (24/10)*15= 36
would really appreciate if there is something quicker can be done.
Kudos please if it happened to be a quick way somehow.



Manager
Joined: 26 May 2013
Posts: 95

Re: Jane can make a handcrafted drum in 4 weeks. Zane can make a similar
[#permalink]
Show Tags
27 Feb 2015, 19:11
Celestial09 wrote: IMO its B
i would do something like this in exam: small mental note ( A do x work in q days ; B do same x work in Y days.. then together = (q+y)/(q*y) and then reciprocal of it.)
(6+4)/(6*4)= 10/24 (24/10)*15= 36
would really appreciate if there is something quicker can be done.
Kudos please if it happened to be a quick way somehow. How fast are you looking to solve the problem? The biggest hurdle any testtaker faces is recognizing the problem, and formulating a plan of attack. You should be familiar with work/rate problems, and your plan of attack should be straightforward. Recognition + plan of attack should be about 20 seconds, if not less. This leaves you an entire 1 minute and 40 seconds to solve the problem.



SVP
Joined: 06 Nov 2014
Posts: 1888

Re: Jane can make a handcrafted drum in 4 weeks. Zane can make a similar
[#permalink]
Show Tags
27 Feb 2015, 21:53
Bunuel wrote: Jane can make a handcrafted drum in 4 weeks. Zane can make a similar handcrafted drum in 6 weeks. If they both work together, how many weeks will it take for them to produce 15 handcrafted drums?
A. 30 B. 36 C. 70 D. 80 E. 150
Kudos for a correct solution. Jane takes 4 week to make a drum. So, task done by Jane in 1 week = 1/4 Zane takes 6 week to make a drum. So, task done by Zane in 1 week = 1/6 Total task in 1 week = 1/4 + 1/6 = 5/12 So, 5/12 drums are produced in 1 week. So, 15 drums are produced in (15 * 1) / (5/12) = (15*12)/5 = 36 Hence option B.  Optimus Prep's GMAT On Demand course for only $299 covers all verbal and quant. concepts in detail. Visit the following link to get your 7 days free trial account: http://www.optimusprep.com/gmatondemandcourse



Manager
Joined: 13 Dec 2013
Posts: 59
Location: Iran (Islamic Republic of)

Re: Jane can make a handcrafted drum in 4 weeks. Zane can make a similar
[#permalink]
Show Tags
28 Feb 2015, 12:05
Answer is B.... Firstly, lets find the time needed to make ONE handcrafted when BOTH guys working : jane's rate is 4 weeks and zane's is 6 : so, (1/4 +1/6) *t = 1 Or : (10/24) *t = 1 and 10 *t =24 or t = 24/10 or 2.4 weeks ( the time needed to make ONE handcrafted ) so , easily the time need to make 15 handcrafted is : 15 *2.4 = 36 answer :B



Math Expert
Joined: 02 Sep 2009
Posts: 48034

Re: Jane can make a handcrafted drum in 4 weeks. Zane can make a similar
[#permalink]
Show Tags
02 Mar 2015, 06:45
Bunuel wrote: Jane can make a handcrafted drum in 4 weeks. Zane can make a similar handcrafted drum in 6 weeks. If they both work together, how many weeks will it take for them to produce 15 handcrafted drums?
A. 30 B. 36 C. 70 D. 80 E. 150
Kudos for a correct solution. MAGOOSH OFFICIAL SOLUTION:Method I: the rates solution“Jane can make a handcrafted drum in 4 weeks. Zane can make a similar handcrafted drum in 6 weeks.” Jane’s rate is (1 drum)/(4 weeks) = 1/4. Zane’s rate is (1 drum)/(6 weeks) = 1/6. The combined rate of Jane + Zane is R = 1/4 + 1/6 = 3/12 + 2/12 = 5/12 That’s the combined rate. We need to make 15 drums — we have a rate and we have an amount, so use the “art” equation to solve for time: T = A/R = 15/(5/12) = 15*(12/5) = (15/5)*12 = 3*12 = 36 BTW, notice in the penultimate step, the universal fraction strategy: cancel before you multiply (Tip #3: http://magoosh.com/gmat/2012/caniuse ... thegmat/. Jane and Zane need 36 weeks to make 15 drums. Answer = B. Method II: the proportion solution“Jane can make a handcrafted drum in 4 weeks. Zane can make a similar handcrafted drum in 6 weeks.” Let’s find the LCM of 4 and 6 — that’s 12 weeks. In a 12 week period, Jane, making a drum every 4 weeks, makes three drums. In a 12 week period, Zane, making a drum every 6 weeks, makes two drums. Therefore, in a 12 weeks period, they produce 5 drums between the two of them. If they make 5 drums in 12 weeks, they need triple that time, 36 weeks, to make 15 drums. Therefore, Jane and Zane need 36 weeks to make 15 drums. Answer = B.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
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? Extrahard Quant Tests with Brilliant Analytics



Senior Manager
Joined: 25 Mar 2013
Posts: 263
Location: United States
Concentration: Entrepreneurship, Marketing
GPA: 3.5

Jane can make a handcrafted drum in 4 weeks. Zane can make a similar
[#permalink]
Show Tags
26 Jan 2017, 09:54
Simple work formula two individuals Jane , Zane make 1 handcraft drum in 4 and 6 weeks respectively Together how much time for 15 handcrafts \(\frac{(4)(6)}{(4+6)}\) \(\frac{24}{10}\) 2.4 weeks for 1 handcraft For 15 handcrafts  2.4x15 = 36 weeks B
_________________
I welcome analysis on my posts and kudo +1 if helpful. It helps me to improve my craft.Thank you



NonHuman User
Joined: 09 Sep 2013
Posts: 7764

Re: Jane can make a handcrafted drum in 4 weeks. Zane can make a similar
[#permalink]
Show Tags
08 Jun 2018, 23:30
Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up  doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources




Re: Jane can make a handcrafted drum in 4 weeks. Zane can make a similar &nbs
[#permalink]
08 Jun 2018, 23:30






