Yellow stripe Q

[vishubn]

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)
A. (5,280 mt) / 12p
B. (5,280 pt) / 12m
C. (5,280 pmt) / 12
D. (5,280)(12m) / pt
E. (5,280)(12p) / mt

vishu

[stop@800]

A

[Azntycoon]

What's the OA? I'm getting D

i) Convert feet into inches & miles:

feet to "t" iches = 12/t
feet to "m" miles = 5280m

ii) Calculate formula knowing that the gallons unit is derived by = sq feet * (gallon/sq feet)

(12/t)(5280m)*(1/p)
((12m)(5280)/t)/p
(12m)(5280)/tp

[Morgoth]

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)
A. (5,280 mt) / 12p
B. (5,280 pt) / 12m
C. (5,280 pmt) / 12
D. (5,280)(12m) / pt
E. (5,280)(12p) / mt

vishu

I will go with A as well.

t inches
t/12 feet.

m miles
5280*m feet.

total area = 5280m * t/12 square feet

p square ft / gallon

5280m * t/12 / p = 5280mt/12p.

Thus, A.

OA?

[vishubn]

OA is A!

Vishu

thans

[Azntycoon]

thanks Morgoth... careless mistake on my part in setting up the Q.