Question

The scale map is given as 1:3×10 raised power 7 . The cities are 5cm apart on the map.The actual distance between them is.

Answer 1

1 : 3×10^7
5 : 5×(3×10^7)
= 15×10^7
= 1.5×10^8 cm or 1500 km

Answer 2

Given that,

Scale map is $1:3\times 10^7$

The distance between cities is 5 cm

To find,

The actual distance between cities.

Solution,

To find actual distance multiply scale map and the distance between cities as follows :

$d=5\times 1:3\times 10^7\times 5\\\\d=15\times 10^7\ \text{cm}$

1 cm = 10⁻⁵ km

So,

$d=1500\ \text{km}$

So, the actual distance between cities is 1500 km.