Correct Answer - Option 2 : 480 km
Given:
Speed of cyclist A is 60 km/h.
Speed of cyclist B is 48 km/h.
cyclists A takes 2 hours lesser time than cyclists B for the journey.
Concept Used:
If the distance covered by two persons is equal, then the time taken by them for the journey is inversely proportional to their speed.
Calculation:
The ratio of the speed of A and B is 60 : 48 = 5 : 4
Since the distance covered by them is equal, the ratio of time taken by A : B = 4 : 5
The difference in the ratio of time taken by them = (5 - 4) unit = 1 unit
Now, according to the question
1 unit = 2 hours.
⇒ 4 units = 8 hours.
Time taken by A to cover the distance from city X to city Y = 8 hours.
Distance = 60 km/h × 8 hour = 480 km.
∴ Distance between two cities X and Y is 480 km.