We are given the time taken to travel a certain as an estimated 4 hours 55 minutes. Also, the average speed for the journey is given as 51 miles per hour. To calculate the distance, the formula given is;
[tex]Dis\tan ce=Speed\times time[/tex]
Note that the time is given as 4 hours plus a fraction of an hour, that is 55 minutes. To express this as a decimal we take the value of 55 minutes as a fraction of one hour, that is;
[tex]\begin{gathered} 55\min s=\frac{55}{60}hr \\ 55\min s=0.9167hr \end{gathered}[/tex]
The time taken therefore can be expressed as;
[tex]4.9167\text{hrs}[/tex]
The distance covered therefore would be;
[tex]\begin{gathered} \text{Distance}=\text{Speed x Time} \\ D=51\times4.9167 \end{gathered}[/tex]
We simplify and we now have;
[tex]D=250.7517[/tex]
Rounded to the nearest mile, that is, the nearest whole number;
ANSWER:
[tex]D=251\text{ miles}[/tex]
