Question

Jacob drove 78 miles in 2 2/3 hours. If he drove at a constant rate, how far did he travelin one hour? Enter your answer as a whole number, proper fraction, or mixednumber in simplest form.

Answer 1

In order to calculate the distance travelled in one hour, we can divide the total number of miles by the amount of time required for that number of miles:

`\text{speed}=(78)/(2(2)/(3))=(78)/((2+(2)/(3)))=(78)/((6)/(3)+(2)/(3))=(78)/((8)/(3))=78\cdot(3)/(8)=(39\cdot3)/(4)=(117)/(4)`

So in one hour, the distance travelled is 117/4 miles.

Converting this value into a mixed number, we have:

`(117)/(4)=(116)/(4)+(1)/(4)=29+(1)/(4)=29(1)/(4)`

--------

Done!

Do you have any questions about the answer?