A ferry traveled 16\dfrac16 6 1 ​ start fraction, 1, divided by, 6, end fraction of the distance between two ports in 37\dfrac37 7 3 ​ start fraction, 3, divided by, 7, end fraction hour. The ferry travels at a constant rate.

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Answer:

[tex]\frac{7}{18}[/tex] miles per hour.

Step-by-step explanation:

We have been given that a ferry traveled [tex]\frac{1}{6}[/tex] of a  distance between two ports in [tex]\frac{3}{7}[/tex]. We are asked to find the travelling rate of ferry.

We will use rate formula to solve our given problem.      

[tex]\text{Rate}=\frac{\text{Distance}}{\text{Time}}[/tex]

Upon substituting our given values in rate formula, we will get:

[tex]\text{Rate}=\frac{\frac{1}{6}}{\frac{3}{7}}[/tex]

Using rule [tex]\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{ad}{bc}[/tex], we will get:

[tex]\text{Rate}=\frac{1\times 7}{3\times 6}[/tex]

[tex]\text{Rate}=\frac{7}{18}[/tex]

Therefore, the ferry travels at a rate of [tex]\frac{7}{18}[/tex] miles per hour.

Answer:

7/18

Step-by-step explanation:

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