Which of the following statement is correct?
I. If the speed is increased by 20 percent, then the time to cover the same distance decreases by 25 percent.
II. If the speed of a car is 45 km/hr, then it will take 16 seconds to cover 200 metres.

Correct option is B

The relationship between speed and time is given by: Time = Distance / Speed.

According to question-

​$$\text{New Time} = \frac{1}{1.20} \times \text{Time} = 0.833 \times \text{Time}.$$​​

This means the time is reduced by 16.67% (100% - 83.33%). Therefore, Statement I is incorrect.

Statement II: If the speed of a car is 45 km/hr, then it will take 16 seconds to cover 200 metres

, we use: 1 km/hr = 5/18 m/s.

​$$\text{Speed of the car} = 45 \, \text{km/hr} = 45 \times \frac{5}{18} = 12.5 \, \text{m/s}.$$​​

​$$\text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{200}{12.5} = 16 \, \text{seconds}.$$​​

Thus, Statement II is correct.