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

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Math Expert
Joined: 02 Sep 2009
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If two places are one inch apart on a map, then they are actually 160  [#permalink]

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26 Oct 2017, 02:55
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Difficulty:

5% (low)

Question Stats:

96% (01:01) correct 4% (00:43) wrong based on 89 sessions

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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

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

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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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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

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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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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

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