Distance Calculation: Speed and Time

The question asks to find the distance covered by Suraj given his speed and the time duration of his travel.

Key Information Provided

• Speed of Suraj: $30\text{ kmph}$
• Time of travel: $72\text{ seconds}$

Step-by-Step Solution

1. Convert Speed to Meters per Second (m/s):

   The speed is given in kilometers per hour (kmph), but the time is in seconds, and the answer choices are in meters. We need to convert the speed to meters per second (m/s) for consistent units.

   The conversion factor is $1\text{ kmph} = \frac{1000\text{ m}}{3600\text{ s}} = \frac{5}{18}\text{ m/s}$.

   Speed in m/s = $30 \times \frac{5}{18}$

   Speed in m/s = $\frac{150}{18} = \frac{25}{3}\text{ m/s}$

2. Calculate Distance:

   Use the formula: Distance = Speed × Time.

   Speed = $\frac{25}{3}\text{ m/s}$

   Time = $72\text{ s}$

   Distance = $\frac{25}{3}\text{ m/s} \times 72\text{ s}$

   Distance = $25 \times \frac{72}{3}\text{ m}$

   Distance = $25 \times 24\text{ m}$

   Distance = $600\text{ m}$

Conclusion

The distance covered by Suraj in $72\text{ seconds}$ at a speed of $30\text{ kmph}$ is $600\text{ meters}$.