Julio walks 3 1/2 miles in 1 1/4 hours. What the unit rate?
3 1/2 ÷ 1 1/4
7/2 ÷ 5/4
7/2 · 4/5
28/10
2.8
Julio walks 2.8 miles in one hour.
Answer: \(2\frac{4}{5}\text{ miles per hour}\)
Step-by-step explanation:
Given :- Julio walks \(3\frac{1}{2}\) miles in \(1\frac{1}{4}\) hours.
first convert distance and time in improper fraction.
Distance= \(3\frac{1}{2}=\frac{7}{2}\) miles
Time taken= \(1\frac{1}{4}=\frac{5}{4}\) hours
Now, the unit rates=
\(\frac{\text{Distance}}{\text{Time}}\\=\frac{\frac{7}{2}}{\frac{5}{4}}=\frac{7}{2}\times\frac{4}{5}\\=\frac{14}{5}\\=2\frac{4}{5}\text{ miles per hour}\)
⇒ Julio walks \(2\frac{4}{5}\text{ miles}\) in 1 hour.