Certainly! Let’s determine how much distance can be covered in \(2 \frac{1}{2}\) hours at a given speed. Here’s a step-by-step solution:
1. Convert the mixed fraction to a decimal:
The given time \(2 \frac{1}{2}\) hours can be converted as follows:
[tex]\[
2 \frac{1}{2} = 2 + \frac{1}{2} = 2 + 0.5 = 2.5 \text{ hours}
\][/tex]
2. Understand the given speed:
We are given a speed of 60 km/h.
3. Calculate the distance:
We use the formula for distance:
[tex]\[
\text{Distance} = \text{Speed} \times \text{Time}
\][/tex]
Substituting the given values:
[tex]\[
\text{Distance} = 60 \text{ km/h} \times 2.5 \text{ hours}
\][/tex]
4. Perform the multiplication:
[tex]\[
60 \times 2.5 = 150 \text{ km}
\][/tex]
Therefore, in [tex]\(2 \frac{1}{2}\)[/tex] hours, at a speed of 60 km/h, he will cover a distance of 150 kilometers.
