Answer:
Distance between automobile and the truck is 100 feet.
Step-by-step explanation:
Speed of the automobile towards the intersection = 30 ft per sec
Speed of the truck that crosses the intersection = 40 ft per sec.
Automobile is 120 feet apart when the truck passes through the intersection.
After 2 seconds distance traveled by the automobile = Speed × time
= 30 × 2
= 60 feet
So the distance of the automobile from the intersection = 120 - 60
= 60 feet
Distance traveled by truck in 2 seconds = 40 × 2
= 80 feet
Now distance between them can be calculated by Pythagoras theorem
Distance = [tex]\sqrt{(60)^{2}+(80)^{2}}[/tex]
= [tex]\sqrt{3600+6400}[/tex]
= [tex]\sqrt{10000}[/tex]
= 100 feet
Therefore, after 2 seconds distance between the truck and the automobile will be 100 feet.
