Distance Calculation for Cyclist Motion

This question requires us to calculate the total distance covered by a cyclist. We are provided with the cyclist's speed and the duration of their travel. To find the distance, we will use the basic formula relating distance, speed, and time.

Understanding the Given Information

The problem provides us with two key pieces of information:

• The speed at which the cyclist travels is $18\ km/hr$.
• The time the cyclist travels for is $2.5\ hours$.

The Fundamental Formula

In physics, the relationship between distance, speed, and time is defined by the formula:

$ \text{Distance} = \text{Speed} \times \text{Time} $

This formula states that the distance traveled by an object is equal to its speed multiplied by the time it spends traveling.

Step-by-Step Calculation

To find the distance the cyclist covers, we need to plug the given values into the formula:

$ \text{Distance} = 18\ km/hr \times 2.5\ hours $

Now, let's perform the multiplication:

$ 18 \times 2.5 $

We can calculate this as follows:

$ 18 \times 2.5 = 18 \times \frac{5}{2} $

$ = \frac{18}{2} \times 5 $

$ = 9 \times 5 $

$ = 45 $

So, the distance covered by the cyclist is $45\ km$.

Conclusion on Distance Covered

Based on the calculation using the speed and time provided, the cyclist covers a distance of $45\ km$.