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Which of the following statement(s) is/are true?A. Speed of x m/sec is equal to x518x \frac{5}{18}x185​ km/hr.B. If a train runs at 56\frac{
Question

Which of the following statement(s) is/are true?
A. Speed of x m/sec is equal to x518x \frac{5}{18} km/hr.
B. If a train runs at 56\frac{5}{6}​ of its usual speed. it gets late by 10 minutes. The usual time of the train to cover the journey is 40 minutes.
C. A car moves at the speed of 80 Km/hr. The speed of the car in meters per second is 222922 \frac{2}{9}​.
D. A person crosses a 600 rn long street in 5 minutes. The speed of the person in Krn per hour is 7.2.
Choose the correct answer from the options given below:

A.

A, B and C Only

B.

A and B Only

C.

B, C and D Only

D.

C and D Only

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 = 2229\frac{2}{9}​ 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

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