Correct Answer - Option 2 : 270 km
Given:
The bus starts running from Lucknow to Kanpur at the speed of 40 km/hr and at the same time, the car runs from Kanpur to Lucknow at the speed of 50 km/hr
Both of them meet after 3 hours.
Concepts used:
Relative speed when vehicles move in the opposite direction = Speed of bus + speed of the car
Distance = Relative speed × time
Calculation:
Relative speed when vehicles move in the opposite direction = Speed of bus + speed of the car
= 40 km/hr + 50 km/hr
= 90 km/hr
The bus and car met after 3 hours.
Distance = Relative speed × time
Distance between Lucknow and Kanpur = 90 × 3 = 270 km
∴ Distance between Lucknow and Kanpur is equal to 270 km.