Question

A distance of 300 Km between two towns Prema Nagar and Srinagar is represented on a map by 4cm. What is the actual distance between the two towns Prema Nagar and Krish Nagar if they are 7 cm apart on map?

Answer 1

Hint: In this particular question use the concept if 4 cm on amp is equal to 300 km so 1 cm on map is equal to $\dfrac{{300}}{4}$ Km, so from this we can easily calculate how much km is 7 cm on the map, so use these concepts to reach the solution of the question.

Complete step-by-step answer:
Given data:
A distance of 300 Km between two towns Prema Nagar and Srinagar is represented on a map by 4cm.
Now we have to find out the actual distance between the two towns Prema Nagar and Krish Nagar if they are 7 cm apart on a map.
So we can say that 4cm on map is equal to 300 Km between two towns Prema Nagar and Srinagar.
Therefore, 4 cm on map = 300 km.
So, 1 km on map = $\dfrac{{300}}{4}$ = 75 km.
So 7 km on map = 7 (75) = 525 Km.
So the distance between the two towns Prema Nagar and Krish Nagar if they are 7 cm apart on map is 525 Km.

Note: Whenever we face such types of questions the key concept we have to remember is that this particular questions is solved using another method which is equal proportions so the ratio of distance on map to the actual distance between the two Nagars is always constant, so $\dfrac{4}{{300}} = \dfrac{7}{x}$, where x is the distance between the two towns Prema Nagar and Krish Nagar, so on simplify we get x = 525 Km.