Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 03 Jul 2008
Posts: 55

A solid yellow stripe is to be painted in the middle of a certain high
[#permalink]
Show Tags
Updated on: 07 Jul 2017, 00:32
Question Stats:
74% (02:24) correct 26% (02:32) wrong based on 684 sessions
HideShow timer Statistics
A solid yellow stripe is to be painted in the middle of a certain highway. If 1 gallon of paint covers an area of p square feet of highway, how many gallons of paint will be needed to paint a stripe of t inches wide on a stretch of highway m miles long? (1 mile = 5,280 feet and 1 foot = 12 inches) A. \(\frac{5,280 mt}{12 p}\) B. \(\frac{5,280 pt}{12m}\) C. \(\frac{5,280pmt}{12}\) D. \(\frac{5,280*12m}{pt}\) E. \(\frac{5,280*12p}{mt}\)
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
On a mission to save the world
Originally posted by TheBigCheese on 12 Jul 2008, 09:04.
Last edited by Bunuel on 07 Jul 2017, 00:32, edited 1 time in total.
Renamed the topic and edited the question.




Math Expert
Joined: 02 Sep 2009
Posts: 58422

Re: A solid yellow stripe is to be painted in the middle of a certain high
[#permalink]
Show Tags
20 Dec 2010, 01:55
gettinit wrote: Can you please describe how to attack this problem? I just stuck to the p's, m's and t's and did a quick calculation on where they end up, but the p square feet is throwing me off. How does this compare to the inch wide yellow line? thanks. A solid yellow stripe is to be painted in the middle of a certain highway. If 1 gallon of paint covers an area of p square feet of highway, how many gallons of paint will be needed to paint a stripe of t inches wide on a stretch of highway m miles long? (1mile = 5,280 feet and 1 foot = 12 inches)A. (5,280 mt) / 12 p B. (5,280 pt) / 12m C. (5,280 pmt) /12 D. (5,280)(12m) / pt E. (5,280)(12p) / mt Given that: 1 gallon of paint covers an area of p square feet. Question: how many gallons of paint will be needed ... In any case you will have: (total area in square feet)/(gallons per feet)=(total area in square feet)/p, so p must be in the denominator: eliminate all but A and D. Now, lets see where should be t: (area in square feet)=(width in feet)*(length in feet) > width=t inches as 1 feet=12 inches then t inches=t/12 feet, so (area in square feet)=(t/12) * (length in feet), so t must be in the nominator: only A is left. Answer: A. Direct way: (total are in square feet)/(gallons per feet)=(total are in square feet)/p=? (area in square feet)=(width in feet)*(length in feet)=(t/12)*(5,280m) > (total are in square feet)/p=(5,280mt)/(12p). Answer: A. Hope it's clear.
_________________




Senior Manager
Joined: 27 May 2008
Posts: 387

Re: A solid yellow stripe is to be painted in the middle of a certain high
[#permalink]
Show Tags
12 Jul 2008, 12:04
POE
unit of m = distance unit of t = distance unit of p = area = distance X distance
we are looking for an answer in gallon ... so all units of distance should cancel each other ... eliminate B, C, D, .. between A and E
p sq feet  1 gallon xyz sq feet  xyx/p gallon > p should come in denominator
Answer A,
30 seconds ... max




Senior Manager
Joined: 12 Apr 2008
Posts: 456
Location: Eastern Europe
Schools: Oxford

Re: A solid yellow stripe is to be painted in the middle of a certain high
[#permalink]
Show Tags
12 Jul 2008, 11:50
Quote: A solid yellow stripe is to be painted in the middle of a certain highway. If 1 gallon of paint covers an area of p square feet of highway, how many gallons of paint will be needed to paint a stripe of t inches wide on a stretch of highway m miles long? (1mile = 5,280 feet and 1 foot = 12 inches) Let’s translate all measure units to feet and calculate the area of the stripe: Area = (m*5280)*(t/12) square feet. Now, all we need is to divide this by p – this will give us the number of gallons: N of gallons = 5280*mt/12p. This is A. (I wonder why they didn’t ask us to divide 5280 by 12… The result is 440, an integer)



SVP
Joined: 30 Apr 2008
Posts: 1621
Location: Oklahoma City
Schools: Hard Knocks

Re: A solid yellow stripe is to be painted in the middle of a certain high
[#permalink]
Show Tags
12 Jul 2008, 12:12
one thing i've noticed about algebra and problem solving on the GMAT is that when you have a problem that appears to require a lot of multiplication of large numbers, it's best to just keep those number unmultiplied and then set up the equation. It also helps to take a look at the answer choices and get a feel for what format the answers are in. If you did the multiplication and did 5280 * 12, and then divided by 144, or whatever, you'd have the correct answer, but you would have a hard time identifying it in the answer choices. You'd come up with \(\frac{440tm}{p}\) Like here t = how many feet wide the stripe is. 5280 = feet long in 1 mile, m = length of the yellow stripe in 1 mile so 5280 * 12 = number of inches in a mile. 5280 * 12 * t = number of square inches per mile of yellow stripe. 5280 * 12 * t * m = total number of squre inches we need to cover...but the coverage is in square feet p so 144 * p = number of inches per square foot the paint will cover. \(\frac{5280 * 12 * t * m}{144p}\) becomes \(\frac{5280 * t * m}{12p}\)
_________________
 J Allen Morris **I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a$$. GMAT Club Premium Membership  big benefits and savings



Manager
Joined: 13 Jul 2010
Posts: 105

Re: A solid yellow stripe is to be painted in the middle of a certain high
[#permalink]
Show Tags
19 Dec 2010, 17:02
Can you please describe how to attack this problem? I just stuck to the p's, m's and t's and did a quick calculation on where they end up, but the p square feet is throwing me off. How does this compare to the inch wide yellow line? thanks.



Manager
Joined: 13 Jul 2010
Posts: 105

Re: A solid yellow stripe is to be painted in the middle of a certain high
[#permalink]
Show Tags
23 Dec 2010, 19:19
Thanks Bunuel very clear!



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 15309
Location: United States (CA)

Re: A solid yellow stripe is to be painted in the middle of a certain high
[#permalink]
Show Tags
12 Feb 2015, 13:49
Hi All, I'm a big fan of TESTing VALUES in these types of questions. This question is written in such a way though that you can solve it with just a few math concepts... There are two "logic shortcuts" to this question that can help you to zeroin on the correct answer. First, we're dealing with "square feet" of a stripe, which implies the area formula for a rectangle (L x W)…. In this case, we have a length of M MILES, so L = M(5280 feet) We have a width of T INCHES; since we're dealing in SQUARE FEET though, we have to convert inches to feet: W = T/12 So, if we just focus on the area, we'll have 5280(M)(T) / 12. Eliminate B, D and E. Second, we're told that 1 gallon of paint covers P SQUARE FEET. This is "ratio data", so to calculate the number of gallons…..whichever side of the fraction has the area….the other side has the P. This means that the P must be in the denominator. Eliminate C. Final Answer: GMAT assassins aren't born, they're made, Rich
_________________
Contact Rich at: Rich.C@empowergmat.comThe Course Used By GMAT Club Moderators To Earn 750+ souvik101990 Score: 760 Q50 V42 ★★★★★ ENGRTOMBA2018 Score: 750 Q49 V44 ★★★★★



Current Student
Joined: 18 Oct 2014
Posts: 801
Location: United States
GPA: 3.98

Re: A solid yellow stripe is to be painted in the middle of a certain high
[#permalink]
Show Tags
22 May 2016, 11:26
TheBigCheese wrote: A solid yellow stripe is to be painted in the middle of a certain highway. If 1 gallon of paint covers an area of p square feet of highway, how many gallons of paint will be needed to paint a stripe of t inches wide on a stretch of highway m miles long? (1 mile = 5,280 feet and 1 foot = 12 inches)
A. (5,280 mt) / 12 p B. (5,280 pt) / 12m C. (5,280 pmt) /12 D. (5,280)(12m) / pt E. (5,280)(12p) / mt area of the strip = m miles *t inches 5280m * t/12 square feet 1 gallon is required to paint p square feet, then 5280 mt/12p is required to paint the whole stretch. A should be the answer.
_________________
I welcome critical analysis of my post!! That will help me reach 700+



Director
Status: Professional GMAT Tutor
Affiliations: AB, cum laude, Harvard University (Class of '02)
Joined: 10 Jul 2015
Posts: 707
Location: United States (CA)
Age: 39
GMAT 1: 770 Q47 V48 GMAT 2: 730 Q44 V47 GMAT 3: 750 Q50 V42
WE: Education (Education)

Re: A solid yellow stripe is to be painted in the middle of a certain high
[#permalink]
Show Tags
03 Jun 2016, 10:10
Attached is a visual that should help.
Attachments
Screen Shot 20160603 at 10.09.50 AM.png [ 185.09 KiB  Viewed 20894 times ]
_________________
Harvard grad and 99% GMAT scorer, offering expert, private GMAT tutoring and coaching worldwide since 2002. One of the only known humans to have taken the GMAT 5 times and scored in the 700s every time (700, 710, 730, 750, 770), including verified section scores of Q50 / V47, as well as personal bests of 8/8 IR (2 times), 6/6 AWA (4 times), 50/51Q and 48/51V. You can download my official testtaker score report (all scores within the last 5 years) directly from the Pearson Vue website: https://tinyurl.com/y7knw7bt Date of Birth: 09 December 1979. GMAT Action Plan and Free EBook  McElroy TutoringContact: mcelroy@post.harvard.edu (I do not respond to PMs on GMAT Club) or find me on reddit: http://www.reddit.com/r/GMATpreparation



Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4774
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)

Re: A solid yellow stripe is to be painted in the middle of a certain high
[#permalink]
Show Tags
03 Jun 2016, 11:14
TheBigCheese wrote: A solid yellow stripe is to be painted in the middle of a certain highway. If 1 gallon of paint covers an area of p square feet of highway, how many gallons of paint will be needed to paint a stripe of t inches wide on a stretch of highway m miles long? (1 mile = 5,280 feet and 1 foot = 12 inches)
A. (5,280 mt) / 12 p B. (5,280 pt) / 12m C. (5,280 pmt) /12 D. (5,280)(12m) / pt E. (5,280)(12p) / mt Visualize the problem  Attachment:
Road.png [ 1.66 KiB  Viewed 20867 times ]
Notice you have three denominations (A) 1 gallon of paint covers an area of p square feet of highway (B) A stripe of t inches wide(C) The stretch of highway m miles longGiven 1 Mile = 5,280 feet ; So, Length of m miles = 5280m feet And , Breadth of t inches = t/12 feet Area = 5280 mt/12 sq Feet Quote: 1 gallon of paint covers an area of p square feet of highway So, quantity of paint required = 5280 mt/12p Hence answer will be (A)
_________________



SVP
Status: It's near  I can see.
Joined: 13 Apr 2013
Posts: 1686
Location: India
Concentration: International Business, Operations
GPA: 3.01
WE: Engineering (Real Estate)

Re: A solid yellow stripe is to be painted in the middle of a certain high
[#permalink]
Show Tags
20 May 2019, 03:14
TheBigCheese wrote: A solid yellow stripe is to be painted in the middle of a certain highway. If 1 gallon of paint covers an area of p square feet of highway, how many gallons of paint will be needed to paint a stripe of t inches wide on a stretch of highway m miles long? (1 mile = 5,280 feet and 1 foot = 12 inches)
A. \(\frac{5,280 mt}{12 p}\)
B. \(\frac{5,280 pt}{12m}\)
C. \(\frac{5,280pmt}{12}\)
D. \(\frac{5,280*12m}{pt}\)
E. \(\frac{5,280*12p}{mt}\) We need to find the number of gallons to paint the strip, so start by what is given : p sq. ft = 1 gallon 1 sq. ft = 1/p gallon x sq. ft = x/p gallons  (where "x" is the area we want to paint)  (I)From this we can eliminate all options that have p in the numerator as it can save time. Now we just need to find the value of "x". As we have a rectangular section, area would be "L x B" Solve for length :L = "m" miles (we need the length in feet) 1 mile = 5,280 feet "m" miles = 5280 * m feet  (II) Solve for width :W = "t" inches (we need the width in feet) 1 foot = 12 inches 1 inch = 1/12 feet "t" inches = t/12 feet  (III) Therefore, (I) = (II) * (III) x sq. ft = x/p gallons =\(\frac{5280 *m*t}{12*p}\)
_________________
"Do not watch clock; Do what it does. KEEP GOING."



Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8125
Location: United States (CA)

Re: A solid yellow stripe is to be painted in the middle of a certain high
[#permalink]
Show Tags
22 May 2019, 06:39
TheBigCheese wrote: A solid yellow stripe is to be painted in the middle of a certain highway. If 1 gallon of paint covers an area of p square feet of highway, how many gallons of paint will be needed to paint a stripe of t inches wide on a stretch of highway m miles long? (1 mile = 5,280 feet and 1 foot = 12 inches)
A. \(\frac{5,280 mt}{12 p}\)
B. \(\frac{5,280 pt}{12m}\)
C. \(\frac{5,280pmt}{12}\)
D. \(\frac{5,280*12m}{pt}\)
E. \(\frac{5,280*12p}{mt}\) We are given that 1 gallon of paint covers p square feet of highway. Thus, thus the “coverage rate” is: (p square feet)/(1 gallon) We need to determine how many gallons are needed to cover a total area of: (t inches)(m miles) Converting inches to feet and miles to feet, we have: (t/12 feet)(5,280m feet) = 5,280mt/12 square feet Now we can determine how many gallons we need to cover the particular stretch of highway: gallons needed = area/rate [5,280mt/12 square feet]/[(p square feet)/(1 gallon)] 5,280mt/12p gallons Answer: A
_________________
5star rated online GMAT quant self study course See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews If you find one of my posts helpful, please take a moment to click on the "Kudos" button.




Re: A solid yellow stripe is to be painted in the middle of a certain high
[#permalink]
22 May 2019, 06:39






