Welcome! Check out our free B-School Guides to learn how you compare with other applicants.
Login or Register
 

A certain highway is to be divided

This topic has 2 member replies
Bookmark
Previous Topic Next Topic
AJWILL Rising GMAT Star Default Avatar
Joined
13 Jul 2012
Posted:
99 messages
Followed by:
1 members
Thanked:
1 times
A certain highway is to be divided Post Sat Aug 04, 2012 2:18 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    A certain highway is to be divided into 3 lanes. For this purpose two yellow stripes are to be painted so that strips divide the highway into 3 lanes. If 3 gallons of paint covers an area of 2P square feet of highway, how many gallons of paint will be needed to paint two stripes x inches wide on a stretch of highway m miles long? (1 mile = 5280 feet, and 1 feet = 12 inches)

    [A] 220xm/p

    [B] 5280xmp/12

    [C] 1320mx/p

    [D] 440xm/p

    [E] 220mp/x


    OA C


    Area = (xm5280)/12 * 2 (2 lanes) dont know what to do after this

    Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!
    eagleeye GMAT Destroyer!
    Joined
    28 Apr 2012
    Posted:
    521 messages
    Followed by:
    48 members
    Thanked:
    328 times
    Test Date:
    August 18, 2012
    GMAT Score:
    770
    Post Sat Aug 04, 2012 2:30 pm
    AJWILL wrote:
    A certain highway is to be divided into 3 lanes. For this purpose two yellow stripes are to be painted so that strips divide the highway into 3 lanes. If 3 gallons of paint covers an area of 2P square feet of highway, how many gallons of paint will be needed to paint two stripes x inches wide on a stretch of highway m miles long? (1 mile = 5280 feet, and 1 feet = 12 inches)

    [A] 220xm/p

    [B] 5280xmp/12

    [C] 1320mx/p

    [D] 440xm/p

    [E] 220mp/x


    OA C


    Area = (xm5280)/12 * 2 (2 lanes) dont know what to do after this
    We are told that 2P square feet is covered by 3 gallons. Hence one square foot is covered by 3/(2P) gallons. Let's convert everything to square feet so that we can simply multiply the total area by 3/2P.

    Now area = (2 strips)*(m*5280 feet)*(x/12 feet) = mx*2*5280/12
    Then paint needed = 3/(2P)* mx*2*5280/12 = mx*5280/(4P) = mx* 1320/P.

    C is correct Smile

    Thanked by: AJWILL
    truplayer256 GMAT Destroyer! Default Avatar
    Joined
    15 Jan 2009
    Posted:
    392 messages
    Thanked:
    75 times
    Post Sun Aug 05, 2012 2:03 pm
    Area of each strip = length x width = (stretch of highway) x (width of strip) = (x/12)(5280m) ft^2
    Number of gallons of paint needed for each strip = (5280mx/(12*2P)) * 3 = (5280mx)/(8P)
    Since there are two strips => (5280mx)/(4P) gallons of paint is needed or 1320mx/P gallons.
    Choose C.

    Best Conversation Starters
    1 varun289 31 topics
    2 sana.noor 23 topics
    3 killerdrummer 21 topics
    4 Rudy414 19 topics
    5 sanaa.rizwan 14 topics
    See More Top Beat The GMAT Members...

    Most Active Experts
    1 image description Brent@GMATPrepNow

    GMAT Prep Now Teacher

    		 199 posts
    2 image description GMATGuruNY

    The Princeton Review Teacher

    		 134 posts
    3 image description Jim@StratusPrep

    Stratus Prep

    		 106 posts
    4 image description Anju@Gurome

    Gurome

    		 47 posts
    5 image description Jon@Admissionado

    Admissionado

    		 39 posts
    See More Top Beat The GMAT Experts