Question

A ferry traveled \dfrac16 6 1 ​ start fraction, 1, divided by, 6, end fraction of the distance between two ports in 7 3 ​ start fraction, 3, divided by, 7, end fraction hour. The ferry travels at a constant rate. At this rate, what fraction of the distance between the two ports can the ferry travel in one hour?

Answer 1

7/18

Explanation:

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Answer 2

The fraction of the distance between the two ports the ferry can travel in one hour is 7/18

Explanation:

From the question,

A ferry traveled 1/6 of the distance between two ports in 3/7 hour.

To determine what fraction of the distance between the two ports the ferry can travel in one hour,

First, we will determine the rate at which the ferry is traveling, since the ferry travels at a constant rate.

The rate can be determined by the dividing the distance by the time spent, that is

Rate = 1/6 ÷ 3/7hour

Rate = 7/18 per hour

That is, the ferry travels 7/18 of the distance between the two ports per hour

Now,

To determine what fraction of the distance between the two ports the ferry can travel in one hour

This can be determined by multiplying the rate by the time

Rate = 7/18 per hour

Time = 1 hour

∴ Distance = Rate × Time

Distance = 7/18 × 1

Distance = 7/18

Hence, the fraction of the distance between the two ports the ferry can travel in one hour is 7/18.