Correct Answer - Option 2 : 480 km
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.
If the distance covered by two persons is equal, then the time taken by them for the journey is inversely proportional to their speed.
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.