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Koto's average velocity was 4.5 m/s. She started at her house and traveled 15000 meters north, 5000 meters east, 20000 meters south, and then 5000 meters west. What was the time of her trip? (There are 60 seconds in 1 minute.)

2 Answers

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Answer:

18.5 minutes

Step-by-step explanation:

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User Chatman
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Answer:

The time of her trip was 18.5 minutes.

Step-by-step explanation:

The cardinal points are a Cartesian reference system to represent orientation. The four most important cardinal points indicate four senses, in reference to the position of the Sun with respect to our planet. There are also secondary orientation points that result from the combination of the four cardinal points.

These cardinal points are: east, west, north and south.

The east or also called the east is where the sun rises. In the opposite direction to the east is the west or west, which is where the sun is hidden.

The north is the cardinal point that faces the observer when he has the east on the right, contrary to the north is the south.

Given that north and south are opposite distances, Koto travels a distance to the north, which corresponds to 15,000 meters. But then Koto travels 20,000 meters south. Their difference corresponds to a distance of 5,000 meters (20,000 - 15,000). This difference means that Koto actually traveled 5,000 meters from his home. This distance was to the south direction, because its value (20,000) is greater than that corresponding to the north direction (15,000).

On the other hand, considering that east and west are opposite distances, Koto traveled 5000 meters east and then 5000 meters west. Its difference is 0. This means that it has moved towards any of the east or west cardinal points.

Then, Koto traveled 5,000 meters from his home to the south direction.

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. That is, what is intended with it is to find the fourth term of a proportion knowing the other three. Remember that proportionality is a constant relationship or ratio between different magnitudes.

If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) , the direct rule of three must be applied. To solve a direct rule of three, the following formula must be followed:

a ⇒ b

c ⇒ x

So


x=(c*b)/(a)

Taking into account that the average speed of Koto was 4.5 m / s, the rule of three applies as follows: if Koto travels 4.5 meters in 1 second, if Koto travels 5,000 meters (previously calculated) in how long it will travel ?


time=(5000*1)/(4.5)

time=1,111.11 ≅ 1,111 seconds

The rule of three applies to convert from seconds to minutes: if 60 seconds correspond to one minute, 1,111 seconds to how many minutes do they correspond?


minutes=(1111*1)/(60)

minutes= 18.51 ≅ 18.5

The time of her trip was 18.5 minutes.

User Lander
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