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# On a certain map of the United States, 3/5 of an inch represents a dis

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Math Expert
Joined: 02 Sep 2009
Posts: 56300
On a certain map of the United States, 3/5 of an inch represents a dis  [#permalink]

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19 Aug 2018, 09:25
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Difficulty:

25% (medium)

Question Stats:

78% (01:06) correct 22% (01:28) wrong based on 26 sessions

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On a certain map of the United States, $$\frac{3}{5}$$ of an inch represents a distance of 400 miles. If Oklahoma City and Detroit are separated on the map by approximately $$\frac{3}{2}$$ of an inch, what is the approximate distance between them in miles?

(A) 240
(B) 360
(C) 600
(D) 800
(E) 1,000

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Re: On a certain map of the United States, 3/5 of an inch represents a dis  [#permalink]

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19 Aug 2018, 10:13
Bunuel wrote:
On a certain map of the United States, $$\frac{3}{5}$$ of an inch represents a distance of 400 miles. If Oklahoma City and Detroit are separated on the map by approximately $$\frac{3}{2}$$ of an inch, what is the approximate distance between them in miles?

(A) 240
(B) 360
(C) 600
(D) 800
(E) 1,000

$$\frac{3}{5}$$ of an inch represents a distance of 400 miles
or 1 inch could represent a distance of $$400 *\frac{5}{3}$$ miles
Hence $$\frac{3}{2}$$ of an inch represents a distance of $$400 *\frac{5}{3}*\frac{3}{2}$$ miles = 1000 miles
Hence ans E
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Re: On a certain map of the United States, 3/5 of an inch represents a dis   [#permalink] 19 Aug 2018, 10:13
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