On a city map it was mentioned “Scale 1 cm = 110 metres”. If the distance between two localities on the map is 15 cm, then the actual distance between the two localities is

Concept:

Distance:

• The measurement of how much any object moved is called distance.
• It is a scalar quantity.

Displacement:

• The minimum distance between two points is called the displacement of the object.
• It is a vector quantity.

Explanation:

Given - 1 cm = 110 metres is the conversion scale

Therefore, 15 cm will be

As we know, 

• The magnitude of displacement is equal to the minimum possible distance between two positions. So distance ≥ Displacement.
• For a moving particle, distance can never be negative or zero while displacement can be (Zero displacement means that body after motion has come back to initial position). i.e., Distance > 0 but Displacement > = or < 0.
• For motion between two points displacement is single-valued while distance depends on the actual path and so can have many values.
• For a moving particle, distance can never decrease with time while displacement can.
• A decrease in displacement with time means the body is moving towards the initial position.

Thus, the actual distance between the two localities is 1.65 kilometres.