Question

The scale of a map is given as 1 : 5,00,00,000. When my movements are mapped onto the map, it is seen that I have moved 4 cm towards the north and then 5 cm towards the east. How much total distance have I travelled actually?

• A. 2,000 km
• B. 4,500 km
• C. 500 km
• D. 2,500 km

Answer 1

The correct option is B 4,500 km

According to the question, the total distance travelled on the map is 9 cm (4 cm north and 5 cm east).

Therefore, the equation formed using direct proportion from map and actual distance can be given as:
$\frac{1}{5,00,00,000}=\frac{9}{x}$

$x=45,00,00,000cm$

We know that,
1m = 100 cm
1km = 1000 m = 1000 x 100 cm = 100000 cm

$\Rightarrow x=45,00,00,000cm=4,500km$

Thus, the total distance covered is 4,500 km.