Answer: 6.175 km
Step-by-step explanation:
from the question, we have the following
velocity of the automobile = 95 km/g
velocity of the train = 75 km/h
length of the train = 1.30 km
since the automobile and the train are moving in the same direction, we need to find the velocity of the car relative to the train which will be their difference in speed = 95 - 75 = 20 km/h
we need to find the time it takes the automobile to overtake the train using the formula time = distance / speed , with the distance being the length of the train.
time (t) = 1.3 / 20
= 0.065 hour
now we can find the distance traveled by the automobile using the the time taken for it to overtake the train and the speed of the automobile.
therefore, distance = speed x time
distance = 95 x 0.065 =6.175 km