Question

The scale of a map is given as 1:50000000. When my movements are mapped onto the map, it is seen that I have moved 4 cm towards North and then 5 cm towards East. How much total distance have I actually travelled?

• A. 2000 km
• B. 4500 km
• C. 500 km
• D. 2500 km

Answer 1

The correct option is B

4500 km

According to the question, the total distance traveled on the map is 9 cm, including 4 cm north and 5 cm east. Therefore, the equation formed using direct proportion from map and actual distance can be given as:
$\frac{1}{50000000}=\frac{9}{x}$
x = 450000000 cm = 4500 km.