Calculating Distance Covered by a Cyclist

This problem asks us to find the total distance a cyclist travels given their speed and the duration of their travel.

Understanding the Concepts

To solve this, we need the fundamental relationship between distance, speed, and time. The formula is:

Distance = Speed × Time

In mathematical notation, this is represented as:

\( d = v \times t \)

Where:

• \( d \) represents the distance traveled.
• \( v \) represents the speed of the object.
• \( t \) represents the time taken.

Applying the Formula

We are given the following information:

• Speed (\( v \)) = 18 km/hr
• Time (\( t \)) = 2.5 hours

Now, we substitute these values into the formula:

\( d = 18 \text{ km/hr} \times 2.5 \text{ hours} \)

Step-by-Step Calculation

1. Identify the given values:
   • Speed = 18 km/hr
   • Time = 2.5 hours
2. Recall the formula: Distance = Speed × Time.
3. Substitute the values into the formula:

   Distance = \( 18 \times 2.5 \) km

4. Perform the multiplication:

   \( 18 \times 2.5 = 45 \)

   You can calculate this as \( 18 \times \frac{5}{2} \), which simplifies to \( 9 \times 5 \), resulting in 45.

5. State the final answer with units: The distance covered is 45 km.

Conclusion

By applying the distance formula using the provided speed and time, the cyclist covers a distance of 45 km.