Answer:
19/101 hour (11 minutes)
Step-by-step explanation:
For a uniform motion (constant velocity), the time taken for an object to cover a certain distance is given by
[tex]t=\frac{d}{v}[/tex]
where
d is the distance to cover
v is the speed of the object
In this problem, we have:
- The speed is
[tex]v=10\frac{1}{10}mi/h[/tex]
Converting into an improper fraction,
[tex]v=\frac{10\cdot 10+1}{10}=\frac{101}{10}mi/h[/tex]
- The distance to cover is
[tex]d=1\frac{9}{10}mi[/tex]
Converting into improper fraction,
[tex]d=\frac{1\cdot 10+9}{10}=\frac{19}{10}mi[/tex]
Therefore, the time taken is:
[tex]t=\frac{19/10}{101/10}=\frac{19}{10}\cdot \frac{10}{101}=\frac{19}{101}h[/tex]
Converting into minutes:
[tex]t=\frac{19}{101}\cdot 60 =\frac{1140}{101}min \sim 11 min[/tex]
which is the nearest integer.
