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Sub 505 (Easy)|   Arithmetic|      
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Bunuel
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A scale on a map states that every ¼ of an inch represents 20 miles. 30 Jul 2019, 00:23
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E
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91% (00:49) correct 9% (01:22) wrong based on 97 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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A scale on a map states that every ¼ of an inch represents 20 miles. 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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A scale on a map states that every ¼ of an inch represents 20 miles. 30 Jul 2019, 00:31
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1/4 inch = 20 miles
1 inch=80 miles
3.5×80 =280 miles
E

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A scale on a map states that every ¼ of an inch represents 20 miles. 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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A scale on a map states that every ¼ of an inch represents 20 miles. 25 Jan 2023, 18:58
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Bunuel
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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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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