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A certain highway is to be divided into 3 lanes. For this purpose two yellow stripes are to be painted so that stripes 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) 1320xm/p
(D) 440xm/p
(E) 220mp/x
(A) 220xm/p
(B) 5280xmp/12
(C) 1320xm/p
(D) 440xm/p
(E) 220mp/x
22 Jul 2019, 10:00
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Bunuel
A certain highway is to be divided into 3 lanes. For this purpose two yellow stripes are to be painted so that stripes 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) 1320xm/p
(D) 440xm/p
(E) 220mp/x
(A) 220xm/p
(B) 5280xmp/12
(C) 1320xm/p
(D) 440xm/p
(E) 220mp/x
total paint required per ft^2 ; 3/2P
total length ; m ; 5280 m feet
and width ; x/12 feet
so area of 2 lanes; x/12*5280 *m* 2 ; 880*x*m
paint required; 880*x*m * 3/2P ; 1320xm/p
IMO C
02 Jun 2025, 10:17
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Bunuel need your expert guidance for this question
Bunuel
A certain highway is to be divided into 3 lanes. For this purpose two yellow stripes are to be painted so that stripes 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) 1320xm/p
(D) 440xm/p
(E) 220mp/x
(A) 220xm/p
(B) 5280xmp/12
(C) 1320xm/p
(D) 440xm/p
(E) 220mp/x
