Answer :
Given Rate:
3/5 miles in 1/2 hour
Let's make everything into minutes.
We know 1 hour = 60 minutes, so 1/2 hour = 30 minutes.
Thus,
Given,
3/5th mile in 30 minutes
Let's figure out the number of miles per minute. For that, we divide 3/5 by 30, so we have:
[tex]\begin{gathered} \frac{\frac{3}{5}}{30} \\ =\frac{3}{5}\times\frac{1}{30} \\ =\frac{3}{150} \\ =\frac{1}{50}\text{miles per minute} \end{gathered}[/tex]Now, its very simple to find the rate in miles per hour. We know 1 hour is 60 minutes, thus we multiply it by 60:
[tex]\begin{gathered} \frac{1}{50}\times60 \\ =\frac{60}{50} \\ =\frac{6}{5}\text{miles per 60 minutes, or miles per hour} \end{gathered}[/tex]The correct answer is:
[tex]\frac{6}{5}\text{miles per hour}[/tex]or,
1 and 1/5th miles per hour