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A train starts out at a station that is 450 km west of a city and travels to the next station, which is 920 km west of the city. If the train has an average velocity of 40.0 km/h. How long does it take to travel between the two stations?



Answer :

Answer:

11.75 hours

Explanation:

Speed

There's a relation between distance, time, and speed.

                                             [tex]s=\dfrac{d}{t}[/tex]

This makes sense since all speeds have a metric of some distance metric over some time metric (miles per hour; miles per minute; kilometers per hour; etc.).

[tex]\dotfill[/tex]

Solving the Problem

We can visualize the problem,

we're told

  • a train is 450km west of a city
  • the next train station is 920km west of the city
  • the train travels at a speed 40 km/h.

We can draw a point representing the city and two points to the left of it: the farthest one representing the next train station and the closer, the train.

From the image, the distance the train travels is the difference of 920 and 450 or 470km.

To find the time it takes the train to travel 470km at its speed we rearrange the equation.

                                          [tex]st=d[/tex]

                                          [tex]t=\dfrac{d}{s}[/tex]

                                   [tex]t=\dfrac{470km }{40\frac{km}{h} }=11.75\:hours[/tex]

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