A map is given with a scale of $2$ cm $= 1, 000$ km. What is the actual distance between the two places in km, if the distance in the map is $2.5$ cm?

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Solution

Let the actual distance between the two places be $x$ km.
Then, by using the concept of proportion,
we get $1000 : x = 2 : 2.5$
$\Rightarrow \frac{1000}{x} = \frac{2}{2.5}$
$\Rightarrow 1000 \times 2.5 = 2 \times x$
So, $x = 1, 250$ km

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A map is given with a scale of 2 cm =1,000 km. What is the actual distance between the two places in km, if the distance in the map is 2.5 cm?

Let the actual distance between the two places be x km. Then, by using the concept of proportion, we get 1000:x=2:2.5 ⇒1000x=22.5 ⇒1000×2.5=2×x So, x=1,250 km

A map is given with a scale of $2$ cm $= 1, 000$ km. What is the actual distance between the two places in km, if the distance in the map is $2.5$ cm?

Let the actual distance between the two places be $x$ km.
Then, by using the concept of proportion,
we get $1000 : x = 2 : 2.5$
$\Rightarrow \frac{1000}{x} = \frac{2}{2.5}$
$\Rightarrow 1000 \times 2.5 = 2 \times x$
So, $x = 1, 250$ km