A ferry 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
First, we determine the speed of the ferry by dividing the distance by the time it took to cover that certain distance.
speed = (1/6) / (3/7)
speed = 7/18
Then, the distance it will travel for an hour is calculated through the procedure below.
distance = (7/18hour) x (1 hour)
distance = 7/18
Therefore, after an hour, the ferry will be able to travel 7/18 of the distance between two ports.
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 \(\dfrac{x}{6}\) distance is traveled in 3/7 hours.
The ferry travels at the same rate.
So, the distance traveled in 1 hour will be,
\(\dfrac{x}{6}\times \dfrac{7}{3}=\dfrac{7x}{18}\)
So, the distance traveled by ferry in one hour is \(\dfrac{7x}{18}\).
Therefore, the fraction of distance traveled by ferry in one hour is 7/18 or 0.389 of the distance between the ports.
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