An automobile traveling at the rate of 30 ft/sec is approaching an intersection. When the automobile is 120 feet from the inters
ection, a truck traveling at the rate of 40 ft/sec crosses the intersection. The automobile and the truck are on roads that are at right angles to one another. How fast are the automobile and the truck separating 2 seconds after the truck leaves the intersection?
1 answer:
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 =
=
=
= 100 feet
Therefore, after 2 seconds distance between the truck and the automobile will be 100 feet.
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