Speed, Distance & Time — Statement I-II Type Questions

Statement 1: 1 m/s = $\dfrac{\dfrac{1}{1000}\text{ km}}{\dfrac{1}{3600}\text{ h}}$ = 3.6 km/hr

Statement 2: 1 km/h = $\dfrac{1\text{ km}}{1\text{ h}}$ = $\dfrac{1000\text{ m}}{3600\text{ s}}$ = 3.6 m/s

Which of the following options is correct?

1. Both the statements are true.

2. Both the statements are false.

3. Statement 1 is true, and statement 2 is false.

4. Statement 1 is false, and statement 2 is true.

Answer

Converting 1 m/s into km/h,

$1 \text{ m/s } = \dfrac{\dfrac{1}{1000} \text{ km}}{\dfrac{1}{3600} \text{ h}}\\[1em] = \dfrac{3600}{1000} \text{ km/h }\\[1em] = 3.6 \text{ km/h }$

So, Statement 1 is true.

Converting 1 km/h into m/s,

$1 \text{ km/h } = \dfrac{1000 \text{ m}}{3600 \text{ s}}\\[1em] = \dfrac{5}{18} \text{ m/s }\\[1em] \approx 0.28 \text{ m/s }$

So, Statement 2 is false.

Hence, option 3 is the correct option.