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On a certain map of the United States, of an inch represents

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On a certain map of the United States, of an inch represents [#permalink]  17 Aug 2018, 18:49
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76% (00:47) correct 23% (00:11) wrong based on 26 sessions
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
[Reveal] Spoiler: OA

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Re: On a certain map of the United States, of an inch represents [#permalink]  18 Aug 2018, 00:15
$$\frac{3}{5}$$ inch = 400
1 inch = $$\frac{400*5}{3}$$
$$\frac{3}{2}$$ inch = $$\frac{400*5}{3} * \frac{3}{2}$$ = 1000
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Re: On a certain map of the United States, of an inch represents [#permalink]  17 Oct 2020, 16:56
400 / (3/5) = D / (3/2)

=> D ={ 400 / (3/5) } * 3/2

=> D = (400 * 5 *3) / (3 * 2)
=> D = 1000
Re: On a certain map of the United States, of an inch represents   [#permalink] 17 Oct 2020, 16:56
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