Question

How much time does Mr.Surya take to cover a distance of 500 m if he runs at a speed of 25 km/hr?

• A. 60 sec
• B. 35 sec
• C. 72 sec
• D. 80 sec

Answer 1

The Correct Option is C

To find out how much time Mr. Surya takes to cover a distance of 500 meters at a speed of 25 km/hr, we can use the basic formula for time:

\(\text{Time} = \frac{\text{Distance}}{\text{Speed}}\)

Step-by-step Solution 

First, we need to convert the speed from km/hr to m/s because the distance is given in meters. The conversion factor is:

\(1 \text{ km/hr} = \frac{5}{18} \text{ m/s}\)

Thus, the speed in m/s is:

\(25 \text{ km/hr} \times \frac{5}{18} = \frac{125}{18} \text{ m/s}\)

Now, we apply the formula for time:

\(\text{Time} = \frac{500 \text{ m}}{\frac{125}{18} \text{ m/s}}\)

By simplifying, we have:

\(\text{Time} = 500 \times \frac{18}{125}\)

Calculating the above expression:

\(\text{Time} = \frac{9000}{125} = 72 \text{ sec}\)

Therefore, Mr. Surya takes 72 seconds to cover a distance of 500 meters at 25 km/hr.

Conclusion

The correct answer is 72 sec.

Tip: A quick way to convert km/hr to m/s is to multiply the speed in km/hr by \(\frac{5}{18}\).