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A scale on a map states that every ¼ of an inch represents 20 miles.

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Bunuel
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A scale on a map states that every ¼ of an inch represents 20 miles. [#permalink] New post   30 Jul 2019, 00:23
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A
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E

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Question Stats:

94% (00:49) correct 6% (01:22) wrong based on 77 sessions
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A scale on a map states that every 1/4 of an inch represents 20 miles. If two cities are \(3\frac{1}{2}\) inches apart, how many miles are actually between the two cities?

A. 14 miles
B. 20 miles
C. 125 miles
D. 230 miles
E. 280 miles
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E
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itoyj
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Re: A scale on a map states that every ¼ of an inch represents 20 miles. [#permalink] New post   30 Jul 2019, 00:29
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1 inch = 80 miles
2 cities are 3.5 inches apart = 3.5*80=280

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suchita2409
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Re: A scale on a map states that every ¼ of an inch represents 20 miles. [#permalink] New post   30 Jul 2019, 00:31
1/4 inch = 20 miles
1 inch=80 miles
3.5×80 =280 miles
E

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Re: A scale on a map states that every ¼ of an inch represents 20 miles. [#permalink] New post   30 Jul 2019, 20:42
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Solution


Given:
    • A scale on a map states that every \(\frac{1}{4}\) of an inch represents 20 miles
    • The distance between two cities on the map = 3.5 inches

To find:
    • The actual distance between the two cities in miles

Approach and Working Out:
    • Given, 0.25 inch = 20 miles
    • Implies, 3.5 inches = 0.25 * 14 = 20 miles * 14 = 280 miles

Hence, the correct answer is Option E.

Answer: E

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Re: A scale on a map states that every of an inch represents 20 miles. [#permalink] New post   25 Jan 2023, 18:58
Expert Reply
Bunuel wrote:
A scale on a map states that every 1/4 of an inch represents 20 miles. If two cities are \(3\frac{1}{2}\) inches apart, how many miles are actually between the two cities?

A. 14 miles
B. 20 miles
C. 125 miles
D. 230 miles
E. 280 miles


We can create the following proportion:

(1/4)/20 = 3.5/n

1/80 = 3.5/n

n = 80 x 3.5 = 280

Answer: E
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Re: A scale on a map states that every of an inch represents 20 miles. [#permalink]
25 Jan 2023, 18:58
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