The scale on a map reads 1/2 inch = 30 miles. If two cities on the map are 5 3/4 inches apart, find the actual distance between

Question

The scale on a map reads
1/2 inch = 30 miles. If two cities on the map are 5 3/4 inches apart, find the actual distance between the cities

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Mít Mít 4 years 2021-08-25T10:08:26+00:00 1 Answers 15 views 0

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  1. quangkhai
    0
    2021-08-25T10:10:23+00:00
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    Answer:

    The actual distance between cities = 345 miles

    Step-by-step explanation:

    Given that:

    Scale on map is

    1/2 inch = 30 miles

    0.5 inch = 30 miles

    Distance between two cities on map = 5\frac{3}{4} = \frac{23}{4} = 5.75 inches

    Actual distance = x

    As the relationship is proportional

    0.5 : 30 :: 5.75 : x

    Product of mean = Product of extreme

    30*5.75 = 0.5x

    172.5 = 0.5x

    0.5x = 172.5

    Dividing both sides by 0.5

    \frac{0.5x}{0.5}=\frac{172.5}{0.5}\\x=345

    Hence,

    The actual distance between cities = 345 miles

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