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]