Aferry traveled 1/6 of the distance between two ports in 3/7 hour at this rate what fraction of the distance between the two ports can travel in 1 hour

The ferry travels at a fixed rate or the same speed. The fraction of distance traveled by ferry in one hour is 7/18 or 0.389 of the distance between the ports.

Let x be the distance between two ports.

A ferry travels 1/6 of the distance x in 3/7 hours. Mathematically, it can be written as distance is traveled in 3/7 hours.

The ferry travels at the same rate.

So, the distance traveled in 1 hour will be,

So, the distance traveled by ferry in one hour is .

Therefore, the fraction of distance traveled by ferry in one hour is 7/18 or 0.389 of the distance between the ports.

For more details, refer to the link:

link

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

$6.42

step-by-step explanation: