Correct option is D
Statement A
Claim: Speed of x m/sec is equal to x × (5/18) km/hr.
Explanation:
This is incorrect. To convert m/sec to km/hr, you multiply by 18/5, not 5/18.
So, x m/sec = x × (18/5) km/hr.
Conclusion: Statement A is incorrect.
Statement B
Claim: If a train runs at 5/6 of its usual speed, it gets late by 10 minutes. Usual time is 40 minutes.
Explanation:
Usual time = 40 minutes.
New time = (6/5) × 40 = 48 minutes.
So the delay = 48 - 40 = 8 minutes, not 10 minutes as stated.
Conclusion: Statement B is incorrect.
Statement C
Claim: A car moves at 80 km/hr. Its speed in meters per second is 22 2/9.
Explanation:
80 km/hr = 80 × 5/18 = 200/9 = 22 m/sec.
Conclusion: Statement C is correct.
Statement D
Claim: A person crosses a 600-meter street in 5 minutes. Speed is 7.2 km/hr.
Explanation:
Time = 5 minutes = 300 seconds
Speed = 600 ÷ 300 = 2 m/sec
Convert to km/hr = 2 × 18/5 = 7.2 km/hr
Conclusion: Statement D is correct.
Final Answer:
Only C and D are correct.
Correct option: 4. C and D only