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If two places are one inch apart on a map, then they are actually 160

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If two places are one inch apart on a map, then they are actually 160 [#permalink]

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New post 26 Oct 2017, 02:55
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If two places are one inch apart on a map, then they are actually 160 miles apart. (The scale on the map is one inch equals 160 miles.) If Seaton is 23/8 inches from Monroe on the map, how many miles is it from Seaton to Monroe?

(A) 3
(B) 27
(C) 300
(D) 360
(E) 460
[Reveal] Spoiler: OA

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If two places are one inch apart on a map, then they are actually 160 [#permalink]

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New post 26 Oct 2017, 04:23
Bunuel wrote:
If two places are one inch apart on a map, then they are actually 160 miles apart. (The scale on the map is one inch equals 160 miles.) If Seaton is 23/8 inches from Monroe on the map, how many miles is it from Seaton to Monroe?

(A) 3
(B) 27
(C) 300
(D) 360
(E) 460



Since 1 inch translates to 160 miles,
\(\frac{23}{8}\)inch will translate to \(\frac{23}{8}*160 = 460\)miles.

Therefore, Seaton is about 460 miles from Monroe in the map(Option E)
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If two places are one inch apart on a map, then they are actually 160 [#permalink]

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New post 26 Oct 2017, 08:31
Bunuel wrote:
If two places are one inch apart on a map, then they are actually 160 miles apart. (The scale on the map is one inch equals 160 miles.) If Seaton is 23/8 inches from Monroe on the map, how many miles is it from Seaton to Monroe?

(A) 3
(B) 27
(C) 300
(D) 360
(E) 460

On the map, 1 inch = 160 actual miles. On the map, Seaton is 23/8 inches from Monroe. How far in actual distance, \(x\)?

\(\frac{Map}{Actual} =\frac{1in}{160mi}=\frac{(\frac{23}{8})}{x}\)

Either by multiplying \(x\) by the same number that the numerator of 1 is multiplied, or cross multiplying:

\(160 miles *\frac{23}{8} = (20*23) = 460\) miles

Answer E

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Re: If two places are one inch apart on a map, then they are actually 160 [#permalink]

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New post 30 Oct 2017, 13:52
Bunuel wrote:
If two places are one inch apart on a map, then they are actually 160 miles apart. (The scale on the map is one inch equals 160 miles.) If Seaton is 23/8 inches from Monroe on the map, how many miles is it from Seaton to Monroe?

(A) 3
(B) 27
(C) 300
(D) 360
(E) 460


We can use the following proportion to determine how many miles it is from Seaton to Monroe.

1/160 = (23/8)/x

x = 160(23/8)

x = (20)(23) = 460

Answer: E
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Re: If two places are one inch apart on a map, then they are actually 160   [#permalink] 30 Oct 2017, 13:52
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