Option 3 : 90 km

**Given:**

Speed of the man from Bhopal to Indore = 30 km/h

Speed of the man from Indore to Bhopal = 60 km/h

Total time = 4 hours 30 minutes

**Formula used:**

Average speed = [2ab/(a + b)]

Distance = Average speed × Total time

Where, a and b is the speed of a particle from A to B and B to A respectively.

**Calculation:**

Average speed = [(2 × 30 × 60)/(30 + 60)]

⇒ Average speed = 40 km/h

Total distance covered = 40 × 9/2

⇒ Total distance covered = 180 km

Distance from Bhopal to Indore = 180/2 = 90 km

**∴ The distance from Bhopal to Indore is 90 km.**

When we find the distance by average speed formula, we will get the total distance of both sides, but in the question, we have asked to find the distance from Bhopal to Indore, so we have to divide the total distance by 2.