Question

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.

Answer 1

7/18

Explanation:

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Answer 2

`(7)/(18)` miles per hour.

Explanation:

We have been given that a ferry traveled
`(1)/(6)` of a distance between two ports in
`(3)/(7)`. We are asked to find the travelling rate of ferry.

We will use rate formula to solve our given problem.

`\text{Rate}=\frac{\text{Distance}}{\text{Time}}`

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

`\text{Rate}=((1)/(6))/((3)/(7))`

Using rule
`((a)/(b))/((c)/(d))=(ad)/(bc)`, we will get:

`\text{Rate}=(1* 7)/(3* 6)`

`\text{Rate}=(7)/(18)`

Therefore, the ferry travels at a rate of
`(7)/(18)` miles per hour.