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题库 / GMATLA-PS-84
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 t inches wide on a stretch of highway m miles long? (1 mile = 5,280 feet and 1 foot = 12 inches)
~$\frac{5,280mt}{12p}$~
~$\frac{5,280 pt}{12m}$~
~$\frac{5,280 pmt}{12}$~
~$\frac{(5,280)(12m)}{pt}$~
~$\frac{(5,280)(12p)}{mt}$~
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一加仑对应的是p square feet,是feet 不是inch
t inches * m miles = X *p ft^2
t*m的面积是多少倍的P就用多少gallon的油漆，求X
把inches和miles都转化成ft，乘积就是ft^2
t inches＝t＊1 inches＝t* 1/12 ft
m miles＝m* 1 miles =m* 5280 ft
（ t* 1/12 ft ）＊(m* 5280 ft) = X*p ft^2
X ft^2= (5,280 mt) / (12p)