Ammar hikes 2 3/4 miles of nature trail in 1 hour and 15 minutes. How many miles of trail does Ammar hike per hour?
\(2\frac{3}{4}=\frac{11}{4} \\\\ 1h \ 15min=60 min +15min\to\boxed{75min} \\\\ \frac{11}{4}......75min \\\\ x..........60min \\\\ x=\frac{\frac{11}{4}*60}{75} \\\\ x=\frac{11*15}{75} \\\\ \boxed{x=\frac{11}{5}miles}\)
For this case, what we should do is find Ammar's speed.
We have then:
\(v =\frac{d}{t}
\)
Where,
d: distance
t: time
Then, on the other hand we have:
1 hour = 60 minutes
Substituting values we have:
\(v = \frac{2\frac{3}{4}}{1\frac{15}{60}}\)
Rewriting we have:
\(v= \frac{\frac{11}{4}}{\frac{75}{60}}\)
\(v= \frac{\frac{11}{4}}{\frac{5}{4}}\)
\(v = \frac{11}{5}\)
Answer:
Ammar hikes \(\frac{11}{5}\) miles per hour