On a map with a scale 1:100,000 the distance between two cities is 12cm. what would be the distance between these two cities on a different map with a scale 1:300,000?

Question

asked Jul 12, 2018 109k views

1 Answer

Meysam Sadeghi · Answer 1 · 2018-07-18T09:08:35+0000

Part 1)

we have

the scale is
1:100,000

the distance on a map is
$12\ cm$

we know that

The scale is equal to the distance on a map divided by the real distance

Let

x------> distance on a map

y-------> real distance

S-------> scale

S=(x)/(y)

In this part we have

S=(1)/(100,000)

$x=12\ cm$

Find the value of y

y=(x)/(S)

Substitute the values

y=(12)/((1/100,000))

$y=1,200,000\ cm$

Convert to kilometers

$y=12\ Km$

Part 2)

In this part we have

S=(1)/(300,000)

$y=12\ km$

Find the value of x

x=S*y

Substitute the values

x=(1/300,000)*12

x=0.00004 Km

Convert to centimeters

$x=4\ cm$

therefore

the answer is

The distance is
$4\ cm$