Respuesta :

Answer:

The length of the train is [tex]600\ m[/tex]

Step-by-step explanation:

we know that

The speed is equal to the ratio of the distance by the time

Let

d -------> the distance in meters

t ------> the time in seconds

s -----> the speed in m/sec

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

Remember that

1 km=1,000 m

1 h=3,600 sec

we have

[tex]s=108\frac{km}{h}[/tex]

Convert to m/sec

[tex]s=108\frac{(1,000)}{3,600}=30\frac{m}{sec}[/tex]

Find the length of the train

we have

[tex]s=30\frac{m}{sec}[/tex]

[tex]t=20\ sec[/tex]

substitute in the formula and solve for d

[tex]30=\frac{d}{20}[/tex]

[tex]d=30(20)=600\ m[/tex]