Answer :
Answer:
Train B is going faster than Train A
Step-by-step explanation:
The distance travelled by Train A, d = 80t
The distance travelled by Train B is given as follows;
Time (hours) [tex]{}[/tex] Distance (km)
2 [tex]{}[/tex] 190
4 [tex]{}[/tex] 380
5 [tex]{}[/tex] 475
Therefore, we have that the rate of change of Train B is given as follows;
(475 - 380)/(5 - 4) = 95 km/h
(475 - 190)/(5 - 2) = 95 km/h
The rate of change of Train B = 95 km/h
While the distance covered by Train A per 1 hour, t = 1 is given as follows
Distance covered in 1 hour for Train A, d = 80 × 1 = 80 kilometers
The rate of train A = Distance covered/(Time in which the distance was covered)
The rate of train of change A = 80 km/(1 hour) = 80 km/hour
The rate of train of change A = 80 km/h
Therefore, Train B is going faster than Train A.