Correct Answer - Option 2 : 45 km
Given:
Distance covered by bus = 2/3 of the total distance
Speed of the person by bus = 60 km/hr
Speed of the person by bicycle = 30 km/hr
Total time taken = 3 hours
Formula used:
Speed = Distance/Time
Calculations:
Let the total distance be 3x
Distance covered by bus = (2/3) × 3x
⇒ 2x
Distance covered by bicycle = 3x – 2x
⇒ x
Total time = time taken by bus + time taken by bicycle
⇒ 3 = (2x/60) + (x/30)
⇒ 3 = (2x + 2x)/60
⇒ 3 = 4x/60
⇒ 4x = 180
⇒ x = 45 km
∴ The distance covered by bicycle is 45 km.