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How much distance will he cover in [tex]$2 \frac{1}{2}$[/tex] hours at the same speed?

Sagot :

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.