A highway is to be divided into 3 lanes. For this purpose, two yellow stripes are painted so that stripes divide the highway into 3 lanes. If 3 gallons of paint cover an area of 4P square feet of highway, how many gallons of paint are 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)
Choose the most appropriate option:
A) 220P/mx
B) 660mx/P
C) 880mx/P
D) 440P/mx
E) 330mx/P
1 square foot needs 3/4P gallons of paint.   The width of each stripe is x/12 feet.   The length of each stripe is 5280m feet.   The area of each stripe is (5280m)(x/12) = 440mx square feet.   For two stripes, the total area is 880mx square feet.   The number of gallons needed is (880mx)*(3/4P) = 660mx/P gallons.   The answer is 660mx/P.  (880  )*(3/4 )= 
<gadget id="calculator">  (880  )*(3/4 )</gadget>
<output>660</output>
660mx/P gallons.   The answer is 660mx/P.
<result>B</result>
A highway is to be divided into 3 lanes. For this purpose, two yellow stripes are painted so that stripes divide the highway into 3 lanes. If 3 gallons of paint cover an area of 4P square feet of highway, how many gallons of paint are 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)