Question

Estimate the distance you can travel in 4 hours 55 minutes if you drive on average 51 mile per hour. Round your answer to the nearest mile

Answer 1

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;

`Dis\tan ce=Speed* time`

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;

`\begin{gathered} 55\min s=(55)/(60)hr \\ 55\min s=0.9167hr \end{gathered}`

The time taken therefore can be expressed as;

`4.9167\text{hrs}`

The distance covered therefore would be;

`\begin{gathered} \text{Distance}=\text{Speed x Time} \\ D=51*4.9167 \end{gathered}`

We simplify and we now have;

`D=250.7517`

Rounded to the nearest mile, that is, the nearest whole number;

ANSWER:

`D=251\text{ miles}`