# The distance shown on a map is 1/500 of the actual distance. If the distance shown on map is 1/5 foot, how long is the actual distance in feet?

The distance shown on a map is 1/500 of the actual distance. If the distance shown on map is 1/5 foot, how long is the actual distance in feet?
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veirenca77
The distance shown on the map= 1/5 feet.
Let, the actual distance= x feet.
By the problem, the distance shown on a map is 1/500 of the actual distance.
So,
$x×\frac{1}{500}=\frac{1}{5}\phantom{\rule{0ex}{0ex}}⇒\frac{x}{500}=\frac{1}{5}\phantom{\rule{0ex}{0ex}}⇒x=\frac{1}{5}×500\phantom{\rule{0ex}{0ex}}⇒x=100$
So, the actual distance = 100 feet.