Let's solve the problem step by step:
1. Convert the mixed number to an improper fraction and then to a decimal:
The speed of the car is given as [tex]\(105 \frac{1}{5} \)[/tex] km/h.
- The mixed number [tex]\(105 \frac{1}{5} \)[/tex] can be converted to an improper fraction.
[tex]\(105 \frac{1}{5} = 105 + \frac{1}{5} \)[/tex].
- Convert [tex]\(\frac{1}{5}\)[/tex] to a decimal:
[tex]\[\frac{1}{5} = 0.2\][/tex]
- Add this decimal to the whole number part:
[tex]\(105 + 0.2 = 105.2\)[/tex]
Therefore, the speed of the car is [tex]\(105.2\)[/tex] km/h.
2. Determine the time:
The time for which the car is traveling is given as [tex]\(3\)[/tex] hours.
3. Calculate the distance covered:
To find the distance covered, we can use the formula:
[tex]\[ \text{Distance} = \text{Speed} \times \text{Time} \][/tex]
- Substitute the speed and time values into the formula:
[tex]\[ \text{Distance} = 105.2 \, \text{km/h} \times 3 \, \text{hours} \][/tex]
4. Perform the multiplication:
[tex]\[ \text{Distance} = 105.2 \times 3 = 315.6 \, \text{km} \][/tex]
The distance covered by the car in 3 hours is [tex]\( 315.6 \)[/tex] kilometers.
