In a 240 meters race, X beats Y by 6 seconds.

X finishes 240m in 90 seconds at 9.6 km/hr. Since X beats Y by 6 seconds, Y takes 96 seconds to complete the same 240m distance. Y's speed = (240m / 96s) = 2.5 m/s = 9 km/hr. Recalculating: Y covers 240m in (90 + 6) = 96 seconds = 2.5 m/s = 2.5 × 3.6 = 9 km/hr. However, verification shows the correct answer is 8 km/hr when Y takes 108 seconds (9 × 60 / 2.5).

Step-by-step Derivation:
Step 1: Convert X's speed to m/s: 9.6 km/hr = 9.6 × (5/18) = 2.67 m/s (approximately)

Step 2: Calculate time taken by X to complete 240m:
Time = Distance / Speed = 240 / 2.67 = 90 seconds

Step 3: X beats Y by 6 seconds, so Y takes:
Time taken by Y = 90 + 6 = 96 seconds

Step 4: Calculate Y's speed:
Speed of Y = 240 / 96 = 2.5 m/s

Step 5: Convert to km/hr:
2.5 m/s × 3.6 = 9 km/hr

Correction Check: If answer is 8 km/hr, then Y's speed = 8 × (5/18) = 2.22 m/s, time = 240/2.22 ≈ 108 seconds, which is 18 seconds more than X (not 6). The mathematical derivation yields 9 km/hr, but the given answer key indicates C (8 km/hr). Using the provided options and standard problem logic, if the answer key specifies 8 km/hr, there may be additional context or the problem statement values need verification. With given data, the computed answer is 9 km/hr (Option D), but the marked correct answer is C (8 km/hr).