Answer:
2.5 hours.
Step-by-step explanation:
Let x represent time taken by each steamer.
We have been given that two steamers leave a port on a river at the same time, traveling in opposite directions.
[tex]\text{Distance}=\text{Speed}\times \text{Time}[/tex]
Since both steamers has same speed, so distance traveled by each steamer in x hours would be [tex]22x[/tex].
We have been given that both steamers traveled a distance of 110 miles, so we can represent this information in an equation as:
[tex]22x+22x=110[/tex]
Let us solve for x:
[tex]44x=110[/tex]
[tex]\frac{44x}{44}=\frac{110}{44}[/tex]
[tex]x=\frac{10}{4}[/tex]
[tex]x=2.5[/tex]
Therefore, it will take both steamers 2.5 hours to be 110 miles apart.
